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Finding the Third Proportional to 143,007 and 313,489

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Solution

The third proportional to 143,007 and 313,489 is: 687,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,007 : 313,489 = 313,489 : x
  2. Step 2: Convert to fraction form
    143,007/313,489 = 313,489/x
  3. Step 3: Cross multiply
    143,007x = 313,489 × 313,489
  4. Step 4: Simplify right side
    143,007x = 98,275,353,121
  5. Step 5: Solve for x
    x = 98,275,353,121/143,007
  6. Step 6: Final answer
    x = 687,206.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.