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Finding the Third Proportional to 400,072 and 868,830

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Solution

The third proportional to 400,072 and 868,830 is: 1,886,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,072 : 868,830 = 868,830 : x
  2. Step 2: Convert to fraction form
    400,072/868,830 = 868,830/x
  3. Step 3: Cross multiply
    400,072x = 868,830 × 868,830
  4. Step 4: Simplify right side
    400,072x = 754,865,568,900
  5. Step 5: Solve for x
    x = 754,865,568,900/400,072
  6. Step 6: Final answer
    x = 1,886,824.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.