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Finding the Third Proportional to 277,723.69 and 420,481.13

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Solution

The third proportional to 277,723.69 and 420,481.13 is: 636,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,723.69 : 420,481.13 = 420,481.13 : x
  2. Step 2: Convert to fraction form
    277,723.69/420,481.13 = 420,481.13/x
  3. Step 3: Cross multiply
    277,723.69x = 420,481.13 × 420,481.13
  4. Step 4: Simplify right side
    277,723.69x = 176,804,376,481.27
  5. Step 5: Solve for x
    x = 176,804,376,481.27/277,723.69
  6. Step 6: Final answer
    x = 636,619.72

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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.