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Finding the Third Proportional to 256,853 and 340,817

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Solution

The third proportional to 256,853 and 340,817 is: 452,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,853 : 340,817 = 340,817 : x
  2. Step 2: Convert to fraction form
    256,853/340,817 = 340,817/x
  3. Step 3: Cross multiply
    256,853x = 340,817 × 340,817
  4. Step 4: Simplify right side
    256,853x = 116,156,227,489
  5. Step 5: Solve for x
    x = 116,156,227,489/256,853
  6. Step 6: Final answer
    x = 452,228.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.