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Finding the Third Proportional to 390,904 and 851,756

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Solution

The third proportional to 390,904 and 851,756 is: 1,855,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,904 : 851,756 = 851,756 : x
  2. Step 2: Convert to fraction form
    390,904/851,756 = 851,756/x
  3. Step 3: Cross multiply
    390,904x = 851,756 × 851,756
  4. Step 4: Simplify right side
    390,904x = 725,488,283,536
  5. Step 5: Solve for x
    x = 725,488,283,536/390,904
  6. Step 6: Final answer
    x = 1,855,924.43

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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.