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Finding the Third Proportional to 143,474 and 292,778

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Solution

The third proportional to 143,474 and 292,778 is: 597,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,474 : 292,778 = 292,778 : x
  2. Step 2: Convert to fraction form
    143,474/292,778 = 292,778/x
  3. Step 3: Cross multiply
    143,474x = 292,778 × 292,778
  4. Step 4: Simplify right side
    143,474x = 85,718,957,284
  5. Step 5: Solve for x
    x = 85,718,957,284/143,474
  6. Step 6: Final answer
    x = 597,452.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.