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Finding the Third Proportional to 81,633 and 119,655

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Solution

The third proportional to 81,633 and 119,655 is: 175,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,633 : 119,655 = 119,655 : x
  2. Step 2: Convert to fraction form
    81,633/119,655 = 119,655/x
  3. Step 3: Cross multiply
    81,633x = 119,655 × 119,655
  4. Step 4: Simplify right side
    81,633x = 14,317,319,025
  5. Step 5: Solve for x
    x = 14,317,319,025/81,633
  6. Step 6: Final answer
    x = 175,386.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.