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Finding the Third Proportional to 278,724.38 and 420,699.38

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Solution

The third proportional to 278,724.38 and 420,699.38 is: 634,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,724.38 : 420,699.38 = 420,699.38 : x
  2. Step 2: Convert to fraction form
    278,724.38/420,699.38 = 420,699.38/x
  3. Step 3: Cross multiply
    278,724.38x = 420,699.38 × 420,699.38
  4. Step 4: Simplify right side
    278,724.38x = 176,987,964,125.39
  5. Step 5: Solve for x
    x = 176,987,964,125.39/278,724.38
  6. Step 6: Final answer
    x = 634,992.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.