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Finding the Third Proportional to 140,555.25 and 301,198.50

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Solution

The third proportional to 140,555.25 and 301,198.50 is: 645,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,555.25 : 301,198.50 = 301,198.50 : x
  2. Step 2: Convert to fraction form
    140,555.25/301,198.50 = 301,198.50/x
  3. Step 3: Cross multiply
    140,555.25x = 301,198.50 × 301,198.50
  4. Step 4: Simplify right side
    140,555.25x = 90,720,536,402.25
  5. Step 5: Solve for x
    x = 90,720,536,402.25/140,555.25
  6. Step 6: Final answer
    x = 645,443.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.