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Finding the Third Proportional to 278,118 and 608,506

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Solution

The third proportional to 278,118 and 608,506 is: 1,331,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,118 : 608,506 = 608,506 : x
  2. Step 2: Convert to fraction form
    278,118/608,506 = 608,506/x
  3. Step 3: Cross multiply
    278,118x = 608,506 × 608,506
  4. Step 4: Simplify right side
    278,118x = 370,279,552,036
  5. Step 5: Solve for x
    x = 370,279,552,036/278,118
  6. Step 6: Final answer
    x = 1,331,375.72

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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.