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Finding the Third Proportional to 177,500 and 387,754

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Solution

The third proportional to 177,500 and 387,754 is: 847,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,500 : 387,754 = 387,754 : x
  2. Step 2: Convert to fraction form
    177,500/387,754 = 387,754/x
  3. Step 3: Cross multiply
    177,500x = 387,754 × 387,754
  4. Step 4: Simplify right side
    177,500x = 150,353,164,516
  5. Step 5: Solve for x
    x = 150,353,164,516/177,500
  6. Step 6: Final answer
    x = 847,060.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.