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Finding the Third Proportional to 329,060 and 497,640

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Solution

The third proportional to 329,060 and 497,640 is: 752,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,060 : 497,640 = 497,640 : x
  2. Step 2: Convert to fraction form
    329,060/497,640 = 497,640/x
  3. Step 3: Cross multiply
    329,060x = 497,640 × 497,640
  4. Step 4: Simplify right side
    329,060x = 247,645,569,600
  5. Step 5: Solve for x
    x = 247,645,569,600/329,060
  6. Step 6: Final answer
    x = 752,584.85

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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.