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Finding the Third Proportional to 256,272 and 560,814

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Solution

The third proportional to 256,272 and 560,814 is: 1,227,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,272 : 560,814 = 560,814 : x
  2. Step 2: Convert to fraction form
    256,272/560,814 = 560,814/x
  3. Step 3: Cross multiply
    256,272x = 560,814 × 560,814
  4. Step 4: Simplify right side
    256,272x = 314,512,342,596
  5. Step 5: Solve for x
    x = 314,512,342,596/256,272
  6. Step 6: Final answer
    x = 1,227,259.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.