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Finding the Third Proportional to 256,115 and 375,868

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Solution

The third proportional to 256,115 and 375,868 is: 551,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,115 : 375,868 = 375,868 : x
  2. Step 2: Convert to fraction form
    256,115/375,868 = 375,868/x
  3. Step 3: Cross multiply
    256,115x = 375,868 × 375,868
  4. Step 4: Simplify right side
    256,115x = 141,276,753,424
  5. Step 5: Solve for x
    x = 141,276,753,424/256,115
  6. Step 6: Final answer
    x = 551,614.52

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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.