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Finding the Third Proportional to 728,460 and 1,102,849

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Solution

The third proportional to 728,460 and 1,102,849 is: 1,669,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,460 : 1,102,849 = 1,102,849 : x
  2. Step 2: Convert to fraction form
    728,460/1,102,849 = 1,102,849/x
  3. Step 3: Cross multiply
    728,460x = 1,102,849 × 1,102,849
  4. Step 4: Simplify right side
    728,460x = 1,216,275,916,801
  5. Step 5: Solve for x
    x = 1,216,275,916,801/728,460
  6. Step 6: Final answer
    x = 1,669,653.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.