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Finding the Third Proportional to 40,291 and 86,117

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Solution

The third proportional to 40,291 and 86,117 is: 184,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,291 : 86,117 = 86,117 : x
  2. Step 2: Convert to fraction form
    40,291/86,117 = 86,117/x
  3. Step 3: Cross multiply
    40,291x = 86,117 × 86,117
  4. Step 4: Simplify right side
    40,291x = 7,416,137,689
  5. Step 5: Solve for x
    x = 7,416,137,689/40,291
  6. Step 6: Final answer
    x = 184,064.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.