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Finding the Third Proportional to 68,614 and 91,076

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Solution

The third proportional to 68,614 and 91,076 is: 120,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,614 : 91,076 = 91,076 : x
  2. Step 2: Convert to fraction form
    68,614/91,076 = 91,076/x
  3. Step 3: Cross multiply
    68,614x = 91,076 × 91,076
  4. Step 4: Simplify right side
    68,614x = 8,294,837,776
  5. Step 5: Solve for x
    x = 8,294,837,776/68,614
  6. Step 6: Final answer
    x = 120,891.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.