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Finding the Third Proportional to 78,670 and 117,977

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Solution

The third proportional to 78,670 and 117,977 is: 176,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,670 : 117,977 = 117,977 : x
  2. Step 2: Convert to fraction form
    78,670/117,977 = 117,977/x
  3. Step 3: Cross multiply
    78,670x = 117,977 × 117,977
  4. Step 4: Simplify right side
    78,670x = 13,918,572,529
  5. Step 5: Solve for x
    x = 13,918,572,529/78,670
  6. Step 6: Final answer
    x = 176,923.51

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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.