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Finding the Third Proportional to 313,942.50 and 469,685.25

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Solution

The third proportional to 313,942.50 and 469,685.25 is: 702,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,942.50 : 469,685.25 = 469,685.25 : x
  2. Step 2: Convert to fraction form
    313,942.50/469,685.25 = 469,685.25/x
  3. Step 3: Cross multiply
    313,942.50x = 469,685.25 × 469,685.25
  4. Step 4: Simplify right side
    313,942.50x = 220,604,234,067.56
  5. Step 5: Solve for x
    x = 220,604,234,067.56/313,942.50
  6. Step 6: Final answer
    x = 702,689.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.