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Finding the Third Proportional to 149,561 and 322,603

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Solution

The third proportional to 149,561 and 322,603 is: 695,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,561 : 322,603 = 322,603 : x
  2. Step 2: Convert to fraction form
    149,561/322,603 = 322,603/x
  3. Step 3: Cross multiply
    149,561x = 322,603 × 322,603
  4. Step 4: Simplify right side
    149,561x = 104,072,695,609
  5. Step 5: Solve for x
    x = 104,072,695,609/149,561
  6. Step 6: Final answer
    x = 695,854.50

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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.