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Finding the Third Proportional to 78,655 and 117,990.75

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Solution

The third proportional to 78,655 and 117,990.75 is: 176,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,655 : 117,990.75 = 117,990.75 : x
  2. Step 2: Convert to fraction form
    78,655/117,990.75 = 117,990.75/x
  3. Step 3: Cross multiply
    78,655x = 117,990.75 × 117,990.75
  4. Step 4: Simplify right side
    78,655x = 13,921,817,085.56
  5. Step 5: Solve for x
    x = 13,921,817,085.56/78,655
  6. Step 6: Final answer
    x = 176,998.50

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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.