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Finding the Third Proportional to 81,636 and 119,658

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Solution

The third proportional to 81,636 and 119,658 is: 175,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,636 : 119,658 = 119,658 : x
  2. Step 2: Convert to fraction form
    81,636/119,658 = 119,658/x
  3. Step 3: Cross multiply
    81,636x = 119,658 × 119,658
  4. Step 4: Simplify right side
    81,636x = 14,318,036,964
  5. Step 5: Solve for x
    x = 14,318,036,964/81,636
  6. Step 6: Final answer
    x = 175,388.76

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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.