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Finding the Third Proportional to 105,138.75 and 151,129.13

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Solution

The third proportional to 105,138.75 and 151,129.13 is: 217,236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,138.75 : 151,129.13 = 151,129.13 : x
  2. Step 2: Convert to fraction form
    105,138.75/151,129.13 = 151,129.13/x
  3. Step 3: Cross multiply
    105,138.75x = 151,129.13 × 151,129.13
  4. Step 4: Simplify right side
    105,138.75x = 22,840,012,423.27
  5. Step 5: Solve for x
    x = 22,840,012,423.27/105,138.75
  6. Step 6: Final answer
    x = 217,236.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.