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Finding the Third Proportional to 125,460 and 178,847

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Solution

The third proportional to 125,460 and 178,847 is: 254,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,460 : 178,847 = 178,847 : x
  2. Step 2: Convert to fraction form
    125,460/178,847 = 178,847/x
  3. Step 3: Cross multiply
    125,460x = 178,847 × 178,847
  4. Step 4: Simplify right side
    125,460x = 31,986,249,409
  5. Step 5: Solve for x
    x = 31,986,249,409/125,460
  6. Step 6: Final answer
    x = 254,951.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.