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Finding the Third Proportional to 149,650 and 328,820

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Solution

The third proportional to 149,650 and 328,820 is: 722,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,650 : 328,820 = 328,820 : x
  2. Step 2: Convert to fraction form
    149,650/328,820 = 328,820/x
  3. Step 3: Cross multiply
    149,650x = 328,820 × 328,820
  4. Step 4: Simplify right side
    149,650x = 108,122,592,400
  5. Step 5: Solve for x
    x = 108,122,592,400/149,650
  6. Step 6: Final answer
    x = 722,503.12

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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.