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Finding the Third Proportional to 278,114 and 608,498

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Solution

The third proportional to 278,114 and 608,498 is: 1,331,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,114 : 608,498 = 608,498 : x
  2. Step 2: Convert to fraction form
    278,114/608,498 = 608,498/x
  3. Step 3: Cross multiply
    278,114x = 608,498 × 608,498
  4. Step 4: Simplify right side
    278,114x = 370,269,816,004
  5. Step 5: Solve for x
    x = 370,269,816,004/278,114
  6. Step 6: Final answer
    x = 1,331,359.86

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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.