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Finding the Third Proportional to 177,417.75 and 275,237.25

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Solution

The third proportional to 177,417.75 and 275,237.25 is: 426,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,417.75 : 275,237.25 = 275,237.25 : x
  2. Step 2: Convert to fraction form
    177,417.75/275,237.25 = 275,237.25/x
  3. Step 3: Cross multiply
    177,417.75x = 275,237.25 × 275,237.25
  4. Step 4: Simplify right side
    177,417.75x = 75,755,543,787.56
  5. Step 5: Solve for x
    x = 75,755,543,787.56/177,417.75
  6. Step 6: Final answer
    x = 426,989.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.