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Finding the Third Proportional to 278,109 and 608,490

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Solution

The third proportional to 278,109 and 608,490 is: 1,331,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,109 : 608,490 = 608,490 : x
  2. Step 2: Convert to fraction form
    278,109/608,490 = 608,490/x
  3. Step 3: Cross multiply
    278,109x = 608,490 × 608,490
  4. Step 4: Simplify right side
    278,109x = 370,260,080,100
  5. Step 5: Solve for x
    x = 370,260,080,100/278,109
  6. Step 6: Final answer
    x = 1,331,348.79

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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.