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Finding the Third Proportional to 177,908 and 392,265.75

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Solution

The third proportional to 177,908 and 392,265.75 is: 864,898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,908 : 392,265.75 = 392,265.75 : x
  2. Step 2: Convert to fraction form
    177,908/392,265.75 = 392,265.75/x
  3. Step 3: Cross multiply
    177,908x = 392,265.75 × 392,265.75
  4. Step 4: Simplify right side
    177,908x = 153,872,418,623.06
  5. Step 5: Solve for x
    x = 153,872,418,623.06/177,908
  6. Step 6: Final answer
    x = 864,898.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.