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Finding the Third Proportional to 86,036 and 129,090

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Solution

The third proportional to 86,036 and 129,090 is: 193,689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,036 : 129,090 = 129,090 : x
  2. Step 2: Convert to fraction form
    86,036/129,090 = 129,090/x
  3. Step 3: Cross multiply
    86,036x = 129,090 × 129,090
  4. Step 4: Simplify right side
    86,036x = 16,664,228,100
  5. Step 5: Solve for x
    x = 16,664,228,100/86,036
  6. Step 6: Final answer
    x = 193,689.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.