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Finding the Third Proportional to 728,940 and 1,577,686

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Solution

The third proportional to 728,940 and 1,577,686 is: 3,414,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,940 : 1,577,686 = 1,577,686 : x
  2. Step 2: Convert to fraction form
    728,940/1,577,686 = 1,577,686/x
  3. Step 3: Cross multiply
    728,940x = 1,577,686 × 1,577,686
  4. Step 4: Simplify right side
    728,940x = 2,489,093,114,596
  5. Step 5: Solve for x
    x = 2,489,093,114,596/728,940
  6. Step 6: Final answer
    x = 3,414,674.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.