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Finding the Third Proportional to 78,615 and 124,544.25

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Solution

The third proportional to 78,615 and 124,544.25 is: 197,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,615 : 124,544.25 = 124,544.25 : x
  2. Step 2: Convert to fraction form
    78,615/124,544.25 = 124,544.25/x
  3. Step 3: Cross multiply
    78,615x = 124,544.25 × 124,544.25
  4. Step 4: Simplify right side
    78,615x = 15,511,270,208.06
  5. Step 5: Solve for x
    x = 15,511,270,208.06/78,615
  6. Step 6: Final answer
    x = 197,306.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.