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Finding the Third Proportional to 81,653 and 119,683

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Solution

The third proportional to 81,653 and 119,683 is: 175,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,653 : 119,683 = 119,683 : x
  2. Step 2: Convert to fraction form
    81,653/119,683 = 119,683/x
  3. Step 3: Cross multiply
    81,653x = 119,683 × 119,683
  4. Step 4: Simplify right side
    81,653x = 14,324,020,489
  5. Step 5: Solve for x
    x = 14,324,020,489/81,653
  6. Step 6: Final answer
    x = 175,425.53

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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.