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Finding the Third Proportional to 459,893 and 687,007

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Solution

The third proportional to 459,893 and 687,007 is: 1,026,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,893 : 687,007 = 687,007 : x
  2. Step 2: Convert to fraction form
    459,893/687,007 = 687,007/x
  3. Step 3: Cross multiply
    459,893x = 687,007 × 687,007
  4. Step 4: Simplify right side
    459,893x = 471,978,618,049
  5. Step 5: Solve for x
    x = 471,978,618,049/459,893
  6. Step 6: Final answer
    x = 1,026,279.20

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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.