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Finding the Third Proportional to 63,862 and 85,419

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Solution

The third proportional to 63,862 and 85,419 is: 114,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,862 : 85,419 = 85,419 : x
  2. Step 2: Convert to fraction form
    63,862/85,419 = 85,419/x
  3. Step 3: Cross multiply
    63,862x = 85,419 × 85,419
  4. Step 4: Simplify right side
    63,862x = 7,296,405,561
  5. Step 5: Solve for x
    x = 7,296,405,561/63,862
  6. Step 6: Final answer
    x = 114,252.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.