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Finding the Third Proportional to 149,602 and 322,532

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Solution

The third proportional to 149,602 and 322,532 is: 695,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,602 : 322,532 = 322,532 : x
  2. Step 2: Convert to fraction form
    149,602/322,532 = 322,532/x
  3. Step 3: Cross multiply
    149,602x = 322,532 × 322,532
  4. Step 4: Simplify right side
    149,602x = 104,026,891,024
  5. Step 5: Solve for x
    x = 104,026,891,024/149,602
  6. Step 6: Final answer
    x = 695,357.62

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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.