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Finding the Third Proportional to 278,306 and 606,604

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Solution

The third proportional to 278,306 and 606,604 is: 1,322,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,306 : 606,604 = 606,604 : x
  2. Step 2: Convert to fraction form
    278,306/606,604 = 606,604/x
  3. Step 3: Cross multiply
    278,306x = 606,604 × 606,604
  4. Step 4: Simplify right side
    278,306x = 367,968,412,816
  5. Step 5: Solve for x
    x = 367,968,412,816/278,306
  6. Step 6: Final answer
    x = 1,322,172.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.