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Finding the Third Proportional to 63,985 and 83,661

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Solution

The third proportional to 63,985 and 83,661 is: 109,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,985 : 83,661 = 83,661 : x
  2. Step 2: Convert to fraction form
    63,985/83,661 = 83,661/x
  3. Step 3: Cross multiply
    63,985x = 83,661 × 83,661
  4. Step 4: Simplify right side
    63,985x = 6,999,162,921
  5. Step 5: Solve for x
    x = 6,999,162,921/63,985
  6. Step 6: Final answer
    x = 109,387.56

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.