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Finding the Third Proportional to 149,437 and 322,489

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Solution

The third proportional to 149,437 and 322,489 is: 695,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,437 : 322,489 = 322,489 : x
  2. Step 2: Convert to fraction form
    149,437/322,489 = 322,489/x
  3. Step 3: Cross multiply
    149,437x = 322,489 × 322,489
  4. Step 4: Simplify right side
    149,437x = 103,999,155,121
  5. Step 5: Solve for x
    x = 103,999,155,121/149,437
  6. Step 6: Final answer
    x = 695,939.79

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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.