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Finding the Third Proportional to 278,154 and 610,434

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Solution

The third proportional to 278,154 and 610,434 is: 1,339,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,154 : 610,434 = 610,434 : x
  2. Step 2: Convert to fraction form
    278,154/610,434 = 610,434/x
  3. Step 3: Cross multiply
    278,154x = 610,434 × 610,434
  4. Step 4: Simplify right side
    278,154x = 372,629,668,356
  5. Step 5: Solve for x
    x = 372,629,668,356/278,154
  6. Step 6: Final answer
    x = 1,339,652.38

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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.