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Finding the Third Proportional to 77,101.31 and 115,651.69

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Solution

The third proportional to 77,101.31 and 115,651.69 is: 173,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,101.31 : 115,651.69 = 115,651.69 : x
  2. Step 2: Convert to fraction form
    77,101.31/115,651.69 = 115,651.69/x
  3. Step 3: Cross multiply
    77,101.31x = 115,651.69 × 115,651.69
  4. Step 4: Simplify right side
    77,101.31x = 13,375,312,821.60
  5. Step 5: Solve for x
    x = 13,375,312,821.60/77,101.31
  6. Step 6: Final answer
    x = 173,477.11

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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.