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Finding the Third Proportional to 149,764 and 329,480

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Solution

The third proportional to 149,764 and 329,480 is: 724,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,764 : 329,480 = 329,480 : x
  2. Step 2: Convert to fraction form
    149,764/329,480 = 329,480/x
  3. Step 3: Cross multiply
    149,764x = 329,480 × 329,480
  4. Step 4: Simplify right side
    149,764x = 108,557,070,400
  5. Step 5: Solve for x
    x = 108,557,070,400/149,764
  6. Step 6: Final answer
    x = 724,854.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.