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Finding the Third Proportional to 487,782 and 728,001

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Solution

The third proportional to 487,782 and 728,001 is: 1,086,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,782 : 728,001 = 728,001 : x
  2. Step 2: Convert to fraction form
    487,782/728,001 = 728,001/x
  3. Step 3: Cross multiply
    487,782x = 728,001 × 728,001
  4. Step 4: Simplify right side
    487,782x = 529,985,456,001
  5. Step 5: Solve for x
    x = 529,985,456,001/487,782
  6. Step 6: Final answer
    x = 1,086,521.14

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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.