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Finding the Third Proportional to 247,873 and 393,950

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Solution

The third proportional to 247,873 and 393,950 is: 626,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,873 : 393,950 = 393,950 : x
  2. Step 2: Convert to fraction form
    247,873/393,950 = 393,950/x
  3. Step 3: Cross multiply
    247,873x = 393,950 × 393,950
  4. Step 4: Simplify right side
    247,873x = 155,196,602,500
  5. Step 5: Solve for x
    x = 155,196,602,500/247,873
  6. Step 6: Final answer
    x = 626,113.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.