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Finding the Third Proportional to 140,377.50 and 304,400.25

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Solution

The third proportional to 140,377.50 and 304,400.25 is: 660,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,377.50 : 304,400.25 = 304,400.25 : x
  2. Step 2: Convert to fraction form
    140,377.50/304,400.25 = 304,400.25/x
  3. Step 3: Cross multiply
    140,377.50x = 304,400.25 × 304,400.25
  4. Step 4: Simplify right side
    140,377.50x = 92,659,512,200.06
  5. Step 5: Solve for x
    x = 92,659,512,200.06/140,377.50
  6. Step 6: Final answer
    x = 660,073.82

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