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Finding the Third Proportional to 51,543 and 110,713.50

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Solution

The third proportional to 51,543 and 110,713.50 is: 237,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,543 : 110,713.50 = 110,713.50 : x
  2. Step 2: Convert to fraction form
    51,543/110,713.50 = 110,713.50/x
  3. Step 3: Cross multiply
    51,543x = 110,713.50 × 110,713.50
  4. Step 4: Simplify right side
    51,543x = 12,257,479,082.25
  5. Step 5: Solve for x
    x = 12,257,479,082.25/51,543
  6. Step 6: Final answer
    x = 237,810.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.