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Finding the Third Proportional to 278,146 and 608,780

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Solution

The third proportional to 278,146 and 608,780 is: 1,332,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,146 : 608,780 = 608,780 : x
  2. Step 2: Convert to fraction form
    278,146/608,780 = 608,780/x
  3. Step 3: Cross multiply
    278,146x = 608,780 × 608,780
  4. Step 4: Simplify right side
    278,146x = 370,613,088,400
  5. Step 5: Solve for x
    x = 370,613,088,400/278,146
  6. Step 6: Final answer
    x = 1,332,440.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.