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Finding the Third Proportional to 256,500 and 565,557

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Solution

The third proportional to 256,500 and 565,557 is: 1,246,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,500 : 565,557 = 565,557 : x
  2. Step 2: Convert to fraction form
    256,500/565,557 = 565,557/x
  3. Step 3: Cross multiply
    256,500x = 565,557 × 565,557
  4. Step 4: Simplify right side
    256,500x = 319,854,720,249
  5. Step 5: Solve for x
    x = 319,854,720,249/256,500
  6. Step 6: Final answer
    x = 1,246,996.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.