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Finding the Third Proportional to 61,938 and 78,327

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Solution

The third proportional to 61,938 and 78,327 is: 99,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,938 : 78,327 = 78,327 : x
  2. Step 2: Convert to fraction form
    61,938/78,327 = 78,327/x
  3. Step 3: Cross multiply
    61,938x = 78,327 × 78,327
  4. Step 4: Simplify right side
    61,938x = 6,135,118,929
  5. Step 5: Solve for x
    x = 6,135,118,929/61,938
  6. Step 6: Final answer
    x = 99,052.58

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.