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Finding the Third Proportional to 728,463 and 1,545,689

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Solution

The third proportional to 728,463 and 1,545,689 is: 3,279,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,463 : 1,545,689 = 1,545,689 : x
  2. Step 2: Convert to fraction form
    728,463/1,545,689 = 1,545,689/x
  3. Step 3: Cross multiply
    728,463x = 1,545,689 × 1,545,689
  4. Step 4: Simplify right side
    728,463x = 2,389,154,484,721
  5. Step 5: Solve for x
    x = 2,389,154,484,721/728,463
  6. Step 6: Final answer
    x = 3,279,719.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.