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Finding the Third Proportional to 399,281 and 870,821

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Solution

The third proportional to 399,281 and 870,821 is: 1,899,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,281 : 870,821 = 870,821 : x
  2. Step 2: Convert to fraction form
    399,281/870,821 = 870,821/x
  3. Step 3: Cross multiply
    399,281x = 870,821 × 870,821
  4. Step 4: Simplify right side
    399,281x = 758,329,214,041
  5. Step 5: Solve for x
    x = 758,329,214,041/399,281
  6. Step 6: Final answer
    x = 1,899,236.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.