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Finding the Third Proportional to 80,445 and 105,785

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Solution

The third proportional to 80,445 and 105,785 is: 139,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,445 : 105,785 = 105,785 : x
  2. Step 2: Convert to fraction form
    80,445/105,785 = 105,785/x
  3. Step 3: Cross multiply
    80,445x = 105,785 × 105,785
  4. Step 4: Simplify right side
    80,445x = 11,190,466,225
  5. Step 5: Solve for x
    x = 11,190,466,225/80,445
  6. Step 6: Final answer
    x = 139,107.04

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.