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Finding the Third Proportional to 78,531 and 125,079.50

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Solution

The third proportional to 78,531 and 125,079.50 is: 199,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,531 : 125,079.50 = 125,079.50 : x
  2. Step 2: Convert to fraction form
    78,531/125,079.50 = 125,079.50/x
  3. Step 3: Cross multiply
    78,531x = 125,079.50 × 125,079.50
  4. Step 4: Simplify right side
    78,531x = 15,644,881,320.25
  5. Step 5: Solve for x
    x = 15,644,881,320.25/78,531
  6. Step 6: Final answer
    x = 199,219.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.