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Finding the Third Proportional to 143,527 and 313,279

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Solution

The third proportional to 143,527 and 313,279 is: 683,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,527 : 313,279 = 313,279 : x
  2. Step 2: Convert to fraction form
    143,527/313,279 = 313,279/x
  3. Step 3: Cross multiply
    143,527x = 313,279 × 313,279
  4. Step 4: Simplify right side
    143,527x = 98,143,731,841
  5. Step 5: Solve for x
    x = 98,143,731,841/143,527
  6. Step 6: Final answer
    x = 683,799.79

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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.