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Finding the Third Proportional to 143,515 and 312,864

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Solution

The third proportional to 143,515 and 312,864 is: 682,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,515 : 312,864 = 312,864 : x
  2. Step 2: Convert to fraction form
    143,515/312,864 = 312,864/x
  3. Step 3: Cross multiply
    143,515x = 312,864 × 312,864
  4. Step 4: Simplify right side
    143,515x = 97,883,882,496
  5. Step 5: Solve for x
    x = 97,883,882,496/143,515
  6. Step 6: Final answer
    x = 682,046.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.