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Finding the Third Proportional to 247,674 and 409,770

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Solution

The third proportional to 247,674 and 409,770 is: 677,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,674 : 409,770 = 409,770 : x
  2. Step 2: Convert to fraction form
    247,674/409,770 = 409,770/x
  3. Step 3: Cross multiply
    247,674x = 409,770 × 409,770
  4. Step 4: Simplify right side
    247,674x = 167,911,452,900
  5. Step 5: Solve for x
    x = 167,911,452,900/247,674
  6. Step 6: Final answer
    x = 677,953.49

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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.