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Finding the Third Proportional to 306,288 and 638,784

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Solution

The third proportional to 306,288 and 638,784 is: 1,332,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,288 : 638,784 = 638,784 : x
  2. Step 2: Convert to fraction form
    306,288/638,784 = 638,784/x
  3. Step 3: Cross multiply
    306,288x = 638,784 × 638,784
  4. Step 4: Simplify right side
    306,288x = 408,044,998,656
  5. Step 5: Solve for x
    x = 408,044,998,656/306,288
  6. Step 6: Final answer
    x = 1,332,226.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.