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Finding the Third Proportional to 278,172 and 608,832

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Solution

The third proportional to 278,172 and 608,832 is: 1,332,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,172 : 608,832 = 608,832 : x
  2. Step 2: Convert to fraction form
    278,172/608,832 = 608,832/x
  3. Step 3: Cross multiply
    278,172x = 608,832 × 608,832
  4. Step 4: Simplify right side
    278,172x = 370,676,404,224
  5. Step 5: Solve for x
    x = 370,676,404,224/278,172
  6. Step 6: Final answer
    x = 1,332,543.91

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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.