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Finding the Third Proportional to 81,688 and 110,865

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Solution

The third proportional to 81,688 and 110,865 is: 150,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,688 : 110,865 = 110,865 : x
  2. Step 2: Convert to fraction form
    81,688/110,865 = 110,865/x
  3. Step 3: Cross multiply
    81,688x = 110,865 × 110,865
  4. Step 4: Simplify right side
    81,688x = 12,291,048,225
  5. Step 5: Solve for x
    x = 12,291,048,225/81,688
  6. Step 6: Final answer
    x = 150,463.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.