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Finding the Third Proportional to 256,058 and 387,624

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Solution

The third proportional to 256,058 and 387,624 is: 586,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,058 : 387,624 = 387,624 : x
  2. Step 2: Convert to fraction form
    256,058/387,624 = 387,624/x
  3. Step 3: Cross multiply
    256,058x = 387,624 × 387,624
  4. Step 4: Simplify right side
    256,058x = 150,252,365,376
  5. Step 5: Solve for x
    x = 150,252,365,376/256,058
  6. Step 6: Final answer
    x = 586,790.36

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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.