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Finding the Third Proportional to 67,281 and 91,417

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Solution

The third proportional to 67,281 and 91,417 is: 124,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,281 : 91,417 = 91,417 : x
  2. Step 2: Convert to fraction form
    67,281/91,417 = 91,417/x
  3. Step 3: Cross multiply
    67,281x = 91,417 × 91,417
  4. Step 4: Simplify right side
    67,281x = 8,357,067,889
  5. Step 5: Solve for x
    x = 8,357,067,889/67,281
  6. Step 6: Final answer
    x = 124,211.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.