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Finding the Third Proportional to 454,014 and 636,287

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Solution

The third proportional to 454,014 and 636,287 is: 891,737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,014 : 636,287 = 636,287 : x
  2. Step 2: Convert to fraction form
    454,014/636,287 = 636,287/x
  3. Step 3: Cross multiply
    454,014x = 636,287 × 636,287
  4. Step 4: Simplify right side
    454,014x = 404,861,146,369
  5. Step 5: Solve for x
    x = 404,861,146,369/454,014
  6. Step 6: Final answer
    x = 891,737.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.