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Finding the Third Proportional to 149,700 and 328,920

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Solution

The third proportional to 149,700 and 328,920 is: 722,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,700 : 328,920 = 328,920 : x
  2. Step 2: Convert to fraction form
    149,700/328,920 = 328,920/x
  3. Step 3: Cross multiply
    149,700x = 328,920 × 328,920
  4. Step 4: Simplify right side
    149,700x = 108,188,366,400
  5. Step 5: Solve for x
    x = 108,188,366,400/149,700
  6. Step 6: Final answer
    x = 722,701.18

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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.