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Finding the Third Proportional to 269,882 and 402,636

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Solution

The third proportional to 269,882 and 402,636 is: 600,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,882 : 402,636 = 402,636 : x
  2. Step 2: Convert to fraction form
    269,882/402,636 = 402,636/x
  3. Step 3: Cross multiply
    269,882x = 402,636 × 402,636
  4. Step 4: Simplify right side
    269,882x = 162,115,748,496
  5. Step 5: Solve for x
    x = 162,115,748,496/269,882
  6. Step 6: Final answer
    x = 600,691.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.