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Finding the Third Proportional to 306,472 and 649,804

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Solution

The third proportional to 306,472 and 649,804 is: 1,377,761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,472 : 649,804 = 649,804 : x
  2. Step 2: Convert to fraction form
    306,472/649,804 = 649,804/x
  3. Step 3: Cross multiply
    306,472x = 649,804 × 649,804
  4. Step 4: Simplify right side
    306,472x = 422,245,238,416
  5. Step 5: Solve for x
    x = 422,245,238,416/306,472
  6. Step 6: Final answer
    x = 1,377,761.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.