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Finding the Third Proportional to 256,059 and 387,630

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Solution

The third proportional to 256,059 and 387,630 is: 586,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,059 : 387,630 = 387,630 : x
  2. Step 2: Convert to fraction form
    256,059/387,630 = 387,630/x
  3. Step 3: Cross multiply
    256,059x = 387,630 × 387,630
  4. Step 4: Simplify right side
    256,059x = 150,257,016,900
  5. Step 5: Solve for x
    x = 150,257,016,900/256,059
  6. Step 6: Final answer
    x = 586,806.23

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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.