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Finding the Third Proportional to 63,292 and 128,402

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Solution

The third proportional to 63,292 and 128,402 is: 260,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,292 : 128,402 = 128,402 : x
  2. Step 2: Convert to fraction form
    63,292/128,402 = 128,402/x
  3. Step 3: Cross multiply
    63,292x = 128,402 × 128,402
  4. Step 4: Simplify right side
    63,292x = 16,487,073,604
  5. Step 5: Solve for x
    x = 16,487,073,604/63,292
  6. Step 6: Final answer
    x = 260,492.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.