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Finding the Third Proportional to 11,430 and 16,618.50

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Solution

The third proportional to 11,430 and 16,618.50 is: 24,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430 : 16,618.50 = 16,618.50 : x
  2. Step 2: Convert to fraction form
    11,430/16,618.50 = 16,618.50/x
  3. Step 3: Cross multiply
    11,430x = 16,618.50 × 16,618.50
  4. Step 4: Simplify right side
    11,430x = 276,174,542.25
  5. Step 5: Solve for x
    x = 276,174,542.25/11,430
  6. Step 6: Final answer
    x = 24,162.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.