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Finding the Third Proportional to 235,857.76 and 518,049.74

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Solution

The third proportional to 235,857.76 and 518,049.74 is: 1,137,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,857.76 : 518,049.74 = 518,049.74 : x
  2. Step 2: Convert to fraction form
    235,857.76/518,049.74 = 518,049.74/x
  3. Step 3: Cross multiply
    235,857.76x = 518,049.74 × 518,049.74
  4. Step 4: Simplify right side
    235,857.76x = 268,375,531,333.27
  5. Step 5: Solve for x
    x = 268,375,531,333.27/235,857.76
  6. Step 6: Final answer
    x = 1,137,870.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.