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Finding the Third Proportional to 81,101 and 129,146

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Solution

The third proportional to 81,101 and 129,146 is: 205,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,101 : 129,146 = 129,146 : x
  2. Step 2: Convert to fraction form
    81,101/129,146 = 129,146/x
  3. Step 3: Cross multiply
    81,101x = 129,146 × 129,146
  4. Step 4: Simplify right side
    81,101x = 16,678,689,316
  5. Step 5: Solve for x
    x = 16,678,689,316/81,101
  6. Step 6: Final answer
    x = 205,653.31

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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.