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Finding the Third Proportional to 247,738 and 393,712

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Solution

The third proportional to 247,738 and 393,712 is: 625,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,738 : 393,712 = 393,712 : x
  2. Step 2: Convert to fraction form
    247,738/393,712 = 393,712/x
  3. Step 3: Cross multiply
    247,738x = 393,712 × 393,712
  4. Step 4: Simplify right side
    247,738x = 155,009,138,944
  5. Step 5: Solve for x
    x = 155,009,138,944/247,738
  6. Step 6: Final answer
    x = 625,697.87

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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.