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Finding the Third Proportional to 78,368 and 166,720

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Solution

The third proportional to 78,368 and 166,720 is: 354,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,368 : 166,720 = 166,720 : x
  2. Step 2: Convert to fraction form
    78,368/166,720 = 166,720/x
  3. Step 3: Cross multiply
    78,368x = 166,720 × 166,720
  4. Step 4: Simplify right side
    78,368x = 27,795,558,400
  5. Step 5: Solve for x
    x = 27,795,558,400/78,368
  6. Step 6: Final answer
    x = 354,679.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.