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Finding the Third Proportional to 8,400 and 18,335

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Solution

The third proportional to 8,400 and 18,335 is: 40,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400 : 18,335 = 18,335 : x
  2. Step 2: Convert to fraction form
    8,400/18,335 = 18,335/x
  3. Step 3: Cross multiply
    8,400x = 18,335 × 18,335
  4. Step 4: Simplify right side
    8,400x = 336,172,225
  5. Step 5: Solve for x
    x = 336,172,225/8,400
  6. Step 6: Final answer
    x = 40,020.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.