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Finding the Third Proportional to 81,945 and 110,709

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Solution

The third proportional to 81,945 and 110,709 is: 149,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,945 : 110,709 = 110,709 : x
  2. Step 2: Convert to fraction form
    81,945/110,709 = 110,709/x
  3. Step 3: Cross multiply
    81,945x = 110,709 × 110,709
  4. Step 4: Simplify right side
    81,945x = 12,256,482,681
  5. Step 5: Solve for x
    x = 12,256,482,681/81,945
  6. Step 6: Final answer
    x = 149,569.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.