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Finding the Third Proportional to 51,275.06 and 78,708.19

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Solution

The third proportional to 51,275.06 and 78,708.19 is: 120,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,275.06 : 78,708.19 = 78,708.19 : x
  2. Step 2: Convert to fraction form
    51,275.06/78,708.19 = 78,708.19/x
  3. Step 3: Cross multiply
    51,275.06x = 78,708.19 × 78,708.19
  4. Step 4: Simplify right side
    51,275.06x = 6,194,978,779.54
  5. Step 5: Solve for x
    x = 6,194,978,779.54/51,275.06
  6. Step 6: Final answer
    x = 120,818.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.