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Finding the Third Proportional to 256,150 and 375,908

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Solution

The third proportional to 256,150 and 375,908 is: 551,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,150 : 375,908 = 375,908 : x
  2. Step 2: Convert to fraction form
    256,150/375,908 = 375,908/x
  3. Step 3: Cross multiply
    256,150x = 375,908 × 375,908
  4. Step 4: Simplify right side
    256,150x = 141,306,824,464
  5. Step 5: Solve for x
    x = 141,306,824,464/256,150
  6. Step 6: Final answer
    x = 551,656.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.