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Finding the Third Proportional to 149,513 and 328,402

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Solution

The third proportional to 149,513 and 328,402 is: 721,327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,513 : 328,402 = 328,402 : x
  2. Step 2: Convert to fraction form
    149,513/328,402 = 328,402/x
  3. Step 3: Cross multiply
    149,513x = 328,402 × 328,402
  4. Step 4: Simplify right side
    149,513x = 107,847,873,604
  5. Step 5: Solve for x
    x = 107,847,873,604/149,513
  6. Step 6: Final answer
    x = 721,327.73

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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.