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Finding the Third Proportional to 78,236 and 117,719

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Solution

The third proportional to 78,236 and 117,719 is: 177,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,236 : 117,719 = 117,719 : x
  2. Step 2: Convert to fraction form
    78,236/117,719 = 117,719/x
  3. Step 3: Cross multiply
    78,236x = 117,719 × 117,719
  4. Step 4: Simplify right side
    78,236x = 13,857,762,961
  5. Step 5: Solve for x
    x = 13,857,762,961/78,236
  6. Step 6: Final answer
    x = 177,127.70

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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.