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Finding the Third Proportional to 256,890 and 391,392

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Solution

The third proportional to 256,890 and 391,392 is: 596,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,890 : 391,392 = 391,392 : x
  2. Step 2: Convert to fraction form
    256,890/391,392 = 391,392/x
  3. Step 3: Cross multiply
    256,890x = 391,392 × 391,392
  4. Step 4: Simplify right side
    256,890x = 153,187,697,664
  5. Step 5: Solve for x
    x = 153,187,697,664/256,890
  6. Step 6: Final answer
    x = 596,316.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.