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Finding the Third Proportional to 77,977.13 and 117,520.31

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Solution

The third proportional to 77,977.13 and 117,520.31 is: 177,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,977.13 : 117,520.31 = 117,520.31 : x
  2. Step 2: Convert to fraction form
    77,977.13/117,520.31 = 117,520.31/x
  3. Step 3: Cross multiply
    77,977.13x = 117,520.31 × 117,520.31
  4. Step 4: Simplify right side
    77,977.13x = 13,811,023,850.10
  5. Step 5: Solve for x
    x = 13,811,023,850.10/77,977.13
  6. Step 6: Final answer
    x = 177,116.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.