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Finding the Third Proportional to 120,643 and 177,452

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Solution

The third proportional to 120,643 and 177,452 is: 261,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,643 : 177,452 = 177,452 : x
  2. Step 2: Convert to fraction form
    120,643/177,452 = 177,452/x
  3. Step 3: Cross multiply
    120,643x = 177,452 × 177,452
  4. Step 4: Simplify right side
    120,643x = 31,489,212,304
  5. Step 5: Solve for x
    x = 31,489,212,304/120,643
  6. Step 6: Final answer
    x = 261,011.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.