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Finding the Third Proportional to 177,790 and 266,413

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Solution

The third proportional to 177,790 and 266,413 is: 399,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,790 : 266,413 = 266,413 : x
  2. Step 2: Convert to fraction form
    177,790/266,413 = 266,413/x
  3. Step 3: Cross multiply
    177,790x = 266,413 × 266,413
  4. Step 4: Simplify right side
    177,790x = 70,975,886,569
  5. Step 5: Solve for x
    x = 70,975,886,569/177,790
  6. Step 6: Final answer
    x = 399,211.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.