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Finding the Third Proportional to 86,310 and 116,611

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Solution

The third proportional to 86,310 and 116,611 is: 157,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,310 : 116,611 = 116,611 : x
  2. Step 2: Convert to fraction form
    86,310/116,611 = 116,611/x
  3. Step 3: Cross multiply
    86,310x = 116,611 × 116,611
  4. Step 4: Simplify right side
    86,310x = 13,598,125,321
  5. Step 5: Solve for x
    x = 13,598,125,321/86,310
  6. Step 6: Final answer
    x = 157,549.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.