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Finding the Third Proportional to 143,214 and 313,644

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Solution

The third proportional to 143,214 and 313,644 is: 686,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,214 : 313,644 = 313,644 : x
  2. Step 2: Convert to fraction form
    143,214/313,644 = 313,644/x
  3. Step 3: Cross multiply
    143,214x = 313,644 × 313,644
  4. Step 4: Simplify right side
    143,214x = 98,372,558,736
  5. Step 5: Solve for x
    x = 98,372,558,736/143,214
  6. Step 6: Final answer
    x = 686,892.05

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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.