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Finding the Third Proportional to 143,332 and 311,540

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Solution

The third proportional to 143,332 and 311,540 is: 677,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,332 : 311,540 = 311,540 : x
  2. Step 2: Convert to fraction form
    143,332/311,540 = 311,540/x
  3. Step 3: Cross multiply
    143,332x = 311,540 × 311,540
  4. Step 4: Simplify right side
    143,332x = 97,057,171,600
  5. Step 5: Solve for x
    x = 97,057,171,600/143,332
  6. Step 6: Final answer
    x = 677,149.36

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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.