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Finding the Third Proportional to 120,707 and 177,361

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Solution

The third proportional to 120,707 and 177,361 is: 260,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,707 : 177,361 = 177,361 : x
  2. Step 2: Convert to fraction form
    120,707/177,361 = 177,361/x
  3. Step 3: Cross multiply
    120,707x = 177,361 × 177,361
  4. Step 4: Simplify right side
    120,707x = 31,456,924,321
  5. Step 5: Solve for x
    x = 31,456,924,321/120,707
  6. Step 6: Final answer
    x = 260,605.63

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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.