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Finding the Third Proportional to 415,809 and 875,085

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Solution

The third proportional to 415,809 and 875,085 is: 1,841,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,809 : 875,085 = 875,085 : x
  2. Step 2: Convert to fraction form
    415,809/875,085 = 875,085/x
  3. Step 3: Cross multiply
    415,809x = 875,085 × 875,085
  4. Step 4: Simplify right side
    415,809x = 765,773,757,225
  5. Step 5: Solve for x
    x = 765,773,757,225/415,809
  6. Step 6: Final answer
    x = 1,841,647.87

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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.