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Finding the Third Proportional to 728,216 and 1,130,663

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Solution

The third proportional to 728,216 and 1,130,663 is: 1,755,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,216 : 1,130,663 = 1,130,663 : x
  2. Step 2: Convert to fraction form
    728,216/1,130,663 = 1,130,663/x
  3. Step 3: Cross multiply
    728,216x = 1,130,663 × 1,130,663
  4. Step 4: Simplify right side
    728,216x = 1,278,398,819,569
  5. Step 5: Solve for x
    x = 1,278,398,819,569/728,216
  6. Step 6: Final answer
    x = 1,755,521.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.