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Finding the Third Proportional to 260,418 and 565,134

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Solution

The third proportional to 260,418 and 565,134 is: 1,226,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,418 : 565,134 = 565,134 : x
  2. Step 2: Convert to fraction form
    260,418/565,134 = 565,134/x
  3. Step 3: Cross multiply
    260,418x = 565,134 × 565,134
  4. Step 4: Simplify right side
    260,418x = 319,376,437,956
  5. Step 5: Solve for x
    x = 319,376,437,956/260,418
  6. Step 6: Final answer
    x = 1,226,399.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.