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Finding the Third Proportional to 77,680.88 and 119,955.75

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Solution

The third proportional to 77,680.88 and 119,955.75 is: 185,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,680.88 : 119,955.75 = 119,955.75 : x
  2. Step 2: Convert to fraction form
    77,680.88/119,955.75 = 119,955.75/x
  3. Step 3: Cross multiply
    77,680.88x = 119,955.75 × 119,955.75
  4. Step 4: Simplify right side
    77,680.88x = 14,389,381,958.06
  5. Step 5: Solve for x
    x = 14,389,381,958.06/77,680.88
  6. Step 6: Final answer
    x = 185,237.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.