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Finding the Third Proportional to 255,754 and 387,186

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Solution

The third proportional to 255,754 and 387,186 is: 586,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,754 : 387,186 = 387,186 : x
  2. Step 2: Convert to fraction form
    255,754/387,186 = 387,186/x
  3. Step 3: Cross multiply
    255,754x = 387,186 × 387,186
  4. Step 4: Simplify right side
    255,754x = 149,912,998,596
  5. Step 5: Solve for x
    x = 149,912,998,596/255,754
  6. Step 6: Final answer
    x = 586,160.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.