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Finding the Third Proportional to 8,430 and 19,215

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Solution

The third proportional to 8,430 and 19,215 is: 43,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430 : 19,215 = 19,215 : x
  2. Step 2: Convert to fraction form
    8,430/19,215 = 19,215/x
  3. Step 3: Cross multiply
    8,430x = 19,215 × 19,215
  4. Step 4: Simplify right side
    8,430x = 369,216,225
  5. Step 5: Solve for x
    x = 369,216,225/8,430
  6. Step 6: Final answer
    x = 43,797.89

Related Problems

Find third proportional to 4,215 and 9,607.50
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.