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Finding the Third Proportional to 149,317 and 322,387

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Solution

The third proportional to 149,317 and 322,387 is: 696,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,317 : 322,387 = 322,387 : x
  2. Step 2: Convert to fraction form
    149,317/322,387 = 322,387/x
  3. Step 3: Cross multiply
    149,317x = 322,387 × 322,387
  4. Step 4: Simplify right side
    149,317x = 103,933,377,769
  5. Step 5: Solve for x
    x = 103,933,377,769/149,317
  6. Step 6: Final answer
    x = 696,058.57

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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.