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Finding the Third Proportional to 78,014.39 and 117,380.39

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Solution

The third proportional to 78,014.39 and 117,380.39 is: 176,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,014.39 : 117,380.39 = 117,380.39 : x
  2. Step 2: Convert to fraction form
    78,014.39/117,380.39 = 117,380.39/x
  3. Step 3: Cross multiply
    78,014.39x = 117,380.39 × 117,380.39
  4. Step 4: Simplify right side
    78,014.39x = 13,778,156,103.28
  5. Step 5: Solve for x
    x = 13,778,156,103.28/78,014.39
  6. Step 6: Final answer
    x = 176,610.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.