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Finding the Third Proportional to 77,001.75 and 115,188.75

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Solution

The third proportional to 77,001.75 and 115,188.75 is: 172,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,001.75 : 115,188.75 = 115,188.75 : x
  2. Step 2: Convert to fraction form
    77,001.75/115,188.75 = 115,188.75/x
  3. Step 3: Cross multiply
    77,001.75x = 115,188.75 × 115,188.75
  4. Step 4: Simplify right side
    77,001.75x = 13,268,448,126.56
  5. Step 5: Solve for x
    x = 13,268,448,126.56/77,001.75
  6. Step 6: Final answer
    x = 172,313.59

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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.