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Finding the Third Proportional to 120,168.75 and 278,182.88

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Solution

The third proportional to 120,168.75 and 278,182.88 is: 643,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,168.75 : 278,182.88 = 278,182.88 : x
  2. Step 2: Convert to fraction form
    120,168.75/278,182.88 = 278,182.88/x
  3. Step 3: Cross multiply
    120,168.75x = 278,182.88 × 278,182.88
  4. Step 4: Simplify right side
    120,168.75x = 77,385,711,943.27
  5. Step 5: Solve for x
    x = 77,385,711,943.27/120,168.75
  6. Step 6: Final answer
    x = 643,975.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.