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Finding the Third Proportional to 399,213 and 862,389

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Solution

The third proportional to 399,213 and 862,389 is: 1,862,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,213 : 862,389 = 862,389 : x
  2. Step 2: Convert to fraction form
    399,213/862,389 = 862,389/x
  3. Step 3: Cross multiply
    399,213x = 862,389 × 862,389
  4. Step 4: Simplify right side
    399,213x = 743,714,787,321
  5. Step 5: Solve for x
    x = 743,714,787,321/399,213
  6. Step 6: Final answer
    x = 1,862,952.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.