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Finding the Third Proportional to 71,138.25 and 100,085.63

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Solution

The third proportional to 71,138.25 and 100,085.63 is: 140,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,138.25 : 100,085.63 = 100,085.63 : x
  2. Step 2: Convert to fraction form
    71,138.25/100,085.63 = 100,085.63/x
  3. Step 3: Cross multiply
    71,138.25x = 100,085.63 × 100,085.63
  4. Step 4: Simplify right side
    71,138.25x = 10,017,132,331.64
  5. Step 5: Solve for x
    x = 10,017,132,331.64/71,138.25
  6. Step 6: Final answer
    x = 140,812.18

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.