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Finding the Third Proportional to 129,476 and 203,448

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Solution

The third proportional to 129,476 and 203,448 is: 319,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,476 : 203,448 = 203,448 : x
  2. Step 2: Convert to fraction form
    129,476/203,448 = 203,448/x
  3. Step 3: Cross multiply
    129,476x = 203,448 × 203,448
  4. Step 4: Simplify right side
    129,476x = 41,391,088,704
  5. Step 5: Solve for x
    x = 41,391,088,704/129,476
  6. Step 6: Final answer
    x = 319,681.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.