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Finding the Third Proportional to 247,871 and 393,947

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Solution

The third proportional to 247,871 and 393,947 is: 626,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,871 : 393,947 = 393,947 : x
  2. Step 2: Convert to fraction form
    247,871/393,947 = 393,947/x
  3. Step 3: Cross multiply
    247,871x = 393,947 × 393,947
  4. Step 4: Simplify right side
    247,871x = 155,194,238,809
  5. Step 5: Solve for x
    x = 155,194,238,809/247,871
  6. Step 6: Final answer
    x = 626,108.90

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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.