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Finding the Third Proportional to 218,553 and 475,561

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Solution

The third proportional to 218,553 and 475,561 is: 1,034,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,553 : 475,561 = 475,561 : x
  2. Step 2: Convert to fraction form
    218,553/475,561 = 475,561/x
  3. Step 3: Cross multiply
    218,553x = 475,561 × 475,561
  4. Step 4: Simplify right side
    218,553x = 226,158,264,721
  5. Step 5: Solve for x
    x = 226,158,264,721/218,553
  6. Step 6: Final answer
    x = 1,034,798.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.