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Finding the Third Proportional to 256,123 and 375,877

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Solution

The third proportional to 256,123 and 375,877 is: 551,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,123 : 375,877 = 375,877 : x
  2. Step 2: Convert to fraction form
    256,123/375,877 = 375,877/x
  3. Step 3: Cross multiply
    256,123x = 375,877 × 375,877
  4. Step 4: Simplify right side
    256,123x = 141,283,519,129
  5. Step 5: Solve for x
    x = 141,283,519,129/256,123
  6. Step 6: Final answer
    x = 551,623.71

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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.