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Finding the Third Proportional to 78,417 and 124,620.75

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Solution

The third proportional to 78,417 and 124,620.75 is: 198,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,417 : 124,620.75 = 124,620.75 : x
  2. Step 2: Convert to fraction form
    78,417/124,620.75 = 124,620.75/x
  3. Step 3: Cross multiply
    78,417x = 124,620.75 × 124,620.75
  4. Step 4: Simplify right side
    78,417x = 15,530,331,330.56
  5. Step 5: Solve for x
    x = 15,530,331,330.56/78,417
  6. Step 6: Final answer
    x = 198,048.02

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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.