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Finding the Third Proportional to 256,074 and 387,649

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Solution

The third proportional to 256,074 and 387,649 is: 586,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,074 : 387,649 = 387,649 : x
  2. Step 2: Convert to fraction form
    256,074/387,649 = 387,649/x
  3. Step 3: Cross multiply
    256,074x = 387,649 × 387,649
  4. Step 4: Simplify right side
    256,074x = 150,271,747,201
  5. Step 5: Solve for x
    x = 150,271,747,201/256,074
  6. Step 6: Final answer
    x = 586,829.38

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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.