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Finding the Third Proportional to 399,046 and 875,698

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Solution

The third proportional to 399,046 and 875,698 is: 1,921,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,046 : 875,698 = 875,698 : x
  2. Step 2: Convert to fraction form
    399,046/875,698 = 875,698/x
  3. Step 3: Cross multiply
    399,046x = 875,698 × 875,698
  4. Step 4: Simplify right side
    399,046x = 766,846,987,204
  5. Step 5: Solve for x
    x = 766,846,987,204/399,046
  6. Step 6: Final answer
    x = 1,921,700.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.