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Finding the Third Proportional to 140,197.50 and 304,057.13

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Solution

The third proportional to 140,197.50 and 304,057.13 is: 659,432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,197.50 : 304,057.13 = 304,057.13 : x
  2. Step 2: Convert to fraction form
    140,197.50/304,057.13 = 304,057.13/x
  3. Step 3: Cross multiply
    140,197.50x = 304,057.13 × 304,057.13
  4. Step 4: Simplify right side
    140,197.50x = 92,450,735,263.27
  5. Step 5: Solve for x
    x = 92,450,735,263.27/140,197.50
  6. Step 6: Final answer
    x = 659,432.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.