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Finding the Third Proportional to 51,531.19 and 79,878.66

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Solution

The third proportional to 51,531.19 and 79,878.66 is: 123,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,531.19 : 79,878.66 = 79,878.66 : x
  2. Step 2: Convert to fraction form
    51,531.19/79,878.66 = 79,878.66/x
  3. Step 3: Cross multiply
    51,531.19x = 79,878.66 × 79,878.66
  4. Step 4: Simplify right side
    51,531.19x = 6,380,599,724.31
  5. Step 5: Solve for x
    x = 6,380,599,724.31/51,531.19
  6. Step 6: Final answer
    x = 123,820.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.