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Finding the Third Proportional to 149,770 and 322,374

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Solution

The third proportional to 149,770 and 322,374 is: 693,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,770 : 322,374 = 322,374 : x
  2. Step 2: Convert to fraction form
    149,770/322,374 = 322,374/x
  3. Step 3: Cross multiply
    149,770x = 322,374 × 322,374
  4. Step 4: Simplify right side
    149,770x = 103,924,995,876
  5. Step 5: Solve for x
    x = 103,924,995,876/149,770
  6. Step 6: Final answer
    x = 693,897.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.