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Finding the Third Proportional to 374,305 and 811,667

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Solution

The third proportional to 374,305 and 811,667 is: 1,760,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,305 : 811,667 = 811,667 : x
  2. Step 2: Convert to fraction form
    374,305/811,667 = 811,667/x
  3. Step 3: Cross multiply
    374,305x = 811,667 × 811,667
  4. Step 4: Simplify right side
    374,305x = 658,803,318,889
  5. Step 5: Solve for x
    x = 658,803,318,889/374,305
  6. Step 6: Final answer
    x = 1,760,070.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.