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Finding the Third Proportional to 247,704 and 409,818

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Solution

The third proportional to 247,704 and 409,818 is: 678,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,704 : 409,818 = 409,818 : x
  2. Step 2: Convert to fraction form
    247,704/409,818 = 409,818/x
  3. Step 3: Cross multiply
    247,704x = 409,818 × 409,818
  4. Step 4: Simplify right side
    247,704x = 167,950,793,124
  5. Step 5: Solve for x
    x = 167,950,793,124/247,704
  6. Step 6: Final answer
    x = 678,030.20

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.