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Finding the Third Proportional to 78,320 and 117,138

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Solution

The third proportional to 78,320 and 117,138 is: 175,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,320 : 117,138 = 117,138 : x
  2. Step 2: Convert to fraction form
    78,320/117,138 = 117,138/x
  3. Step 3: Cross multiply
    78,320x = 117,138 × 117,138
  4. Step 4: Simplify right side
    78,320x = 13,721,311,044
  5. Step 5: Solve for x
    x = 13,721,311,044/78,320
  6. Step 6: Final answer
    x = 175,195.49

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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.