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Finding the Third Proportional to 51,040.13 and 72,510.19

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Solution

The third proportional to 51,040.13 and 72,510.19 is: 103,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,040.13 : 72,510.19 = 72,510.19 : x
  2. Step 2: Convert to fraction form
    51,040.13/72,510.19 = 72,510.19/x
  3. Step 3: Cross multiply
    51,040.13x = 72,510.19 × 72,510.19
  4. Step 4: Simplify right side
    51,040.13x = 5,257,727,291.29
  5. Step 5: Solve for x
    x = 5,257,727,291.29/51,040.13
  6. Step 6: Final answer
    x = 103,011.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.