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Finding the Third Proportional to 143,049 and 314,103

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Solution

The third proportional to 143,049 and 314,103 is: 689,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,049 : 314,103 = 314,103 : x
  2. Step 2: Convert to fraction form
    143,049/314,103 = 314,103/x
  3. Step 3: Cross multiply
    143,049x = 314,103 × 314,103
  4. Step 4: Simplify right side
    143,049x = 98,660,694,609
  5. Step 5: Solve for x
    x = 98,660,694,609/143,049
  6. Step 6: Final answer
    x = 689,698.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.