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Finding the Third Proportional to 415,810 and 875,087

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Solution

The third proportional to 415,810 and 875,087 is: 1,841,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,810 : 875,087 = 875,087 : x
  2. Step 2: Convert to fraction form
    415,810/875,087 = 875,087/x
  3. Step 3: Cross multiply
    415,810x = 875,087 × 875,087
  4. Step 4: Simplify right side
    415,810x = 765,777,257,569
  5. Step 5: Solve for x
    x = 765,777,257,569/415,810
  6. Step 6: Final answer
    x = 1,841,651.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.