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Finding the Third Proportional to 81,726 and 130,119

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Solution

The third proportional to 81,726 and 130,119 is: 207,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,726 : 130,119 = 130,119 : x
  2. Step 2: Convert to fraction form
    81,726/130,119 = 130,119/x
  3. Step 3: Cross multiply
    81,726x = 130,119 × 130,119
  4. Step 4: Simplify right side
    81,726x = 16,930,954,161
  5. Step 5: Solve for x
    x = 16,930,954,161/81,726
  6. Step 6: Final answer
    x = 207,167.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.