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Finding the Third Proportional to 143,876 and 316,304

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Solution

The third proportional to 143,876 and 316,304 is: 695,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,876 : 316,304 = 316,304 : x
  2. Step 2: Convert to fraction form
    143,876/316,304 = 316,304/x
  3. Step 3: Cross multiply
    143,876x = 316,304 × 316,304
  4. Step 4: Simplify right side
    143,876x = 100,048,220,416
  5. Step 5: Solve for x
    x = 100,048,220,416/143,876
  6. Step 6: Final answer
    x = 695,378.11

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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.