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Finding the Third Proportional to 313,510.25 and 448,143.38

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Solution

The third proportional to 313,510.25 and 448,143.38 is: 640,593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,510.25 : 448,143.38 = 448,143.38 : x
  2. Step 2: Convert to fraction form
    313,510.25/448,143.38 = 448,143.38/x
  3. Step 3: Cross multiply
    313,510.25x = 448,143.38 × 448,143.38
  4. Step 4: Simplify right side
    313,510.25x = 200,832,484,556.39
  5. Step 5: Solve for x
    x = 200,832,484,556.39/313,510.25
  6. Step 6: Final answer
    x = 640,593.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.