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Finding the Third Proportional to 155,280 and 329,352

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Solution

The third proportional to 155,280 and 329,352 is: 698,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,280 : 329,352 = 329,352 : x
  2. Step 2: Convert to fraction form
    155,280/329,352 = 329,352/x
  3. Step 3: Cross multiply
    155,280x = 329,352 × 329,352
  4. Step 4: Simplify right side
    155,280x = 108,472,739,904
  5. Step 5: Solve for x
    x = 108,472,739,904/155,280
  6. Step 6: Final answer
    x = 698,562.21

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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.