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Finding the Third Proportional to 178,065 and 275,347

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Solution

The third proportional to 178,065 and 275,347 is: 425,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,065 : 275,347 = 275,347 : x
  2. Step 2: Convert to fraction form
    178,065/275,347 = 275,347/x
  3. Step 3: Cross multiply
    178,065x = 275,347 × 275,347
  4. Step 4: Simplify right side
    178,065x = 75,815,970,409
  5. Step 5: Solve for x
    x = 75,815,970,409/178,065
  6. Step 6: Final answer
    x = 425,776.94

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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.