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Finding the Third Proportional to 105,516 and 151,149

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Solution

The third proportional to 105,516 and 151,149 is: 216,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,516 : 151,149 = 151,149 : x
  2. Step 2: Convert to fraction form
    105,516/151,149 = 151,149/x
  3. Step 3: Cross multiply
    105,516x = 151,149 × 151,149
  4. Step 4: Simplify right side
    105,516x = 22,846,020,201
  5. Step 5: Solve for x
    x = 22,846,020,201/105,516
  6. Step 6: Final answer
    x = 216,517.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.