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Finding the Third Proportional to 149,331 and 322,415

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Solution

The third proportional to 149,331 and 322,415 is: 696,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,331 : 322,415 = 322,415 : x
  2. Step 2: Convert to fraction form
    149,331/322,415 = 322,415/x
  3. Step 3: Cross multiply
    149,331x = 322,415 × 322,415
  4. Step 4: Simplify right side
    149,331x = 103,951,432,225
  5. Step 5: Solve for x
    x = 103,951,432,225/149,331
  6. Step 6: Final answer
    x = 696,114.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.