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Finding the Third Proportional to 256,786 and 564,812

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Solution

The third proportional to 256,786 and 564,812 is: 1,242,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,786 : 564,812 = 564,812 : x
  2. Step 2: Convert to fraction form
    256,786/564,812 = 564,812/x
  3. Step 3: Cross multiply
    256,786x = 564,812 × 564,812
  4. Step 4: Simplify right side
    256,786x = 319,012,595,344
  5. Step 5: Solve for x
    x = 319,012,595,344/256,786
  6. Step 6: Final answer
    x = 1,242,328.61

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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.