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Finding the Third Proportional to 256,050 and 387,612

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Solution

The third proportional to 256,050 and 387,612 is: 586,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,050 : 387,612 = 387,612 : x
  2. Step 2: Convert to fraction form
    256,050/387,612 = 387,612/x
  3. Step 3: Cross multiply
    256,050x = 387,612 × 387,612
  4. Step 4: Simplify right side
    256,050x = 150,243,062,544
  5. Step 5: Solve for x
    x = 150,243,062,544/256,050
  6. Step 6: Final answer
    x = 586,772.36

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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.