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Finding the Third Proportional to 98,359.31 and 144,310.78

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Solution

The third proportional to 98,359.31 and 144,310.78 is: 211,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,359.31 : 144,310.78 = 144,310.78 : x
  2. Step 2: Convert to fraction form
    98,359.31/144,310.78 = 144,310.78/x
  3. Step 3: Cross multiply
    98,359.31x = 144,310.78 × 144,310.78
  4. Step 4: Simplify right side
    98,359.31x = 20,825,601,584.99
  5. Step 5: Solve for x
    x = 20,825,601,584.99/98,359.31
  6. Step 6: Final answer
    x = 211,729.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.