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Finding the Third Proportional to 86,094 and 129,139

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Solution

The third proportional to 86,094 and 129,139 is: 193,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,094 : 129,139 = 129,139 : x
  2. Step 2: Convert to fraction form
    86,094/129,139 = 129,139/x
  3. Step 3: Cross multiply
    86,094x = 129,139 × 129,139
  4. Step 4: Simplify right side
    86,094x = 16,676,881,321
  5. Step 5: Solve for x
    x = 16,676,881,321/86,094
  6. Step 6: Final answer
    x = 193,705.50

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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.