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Finding the Third Proportional to 561,305 and 864,098

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Solution

The third proportional to 561,305 and 864,098 is: 1,330,231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,305 : 864,098 = 864,098 : x
  2. Step 2: Convert to fraction form
    561,305/864,098 = 864,098/x
  3. Step 3: Cross multiply
    561,305x = 864,098 × 864,098
  4. Step 4: Simplify right side
    561,305x = 746,665,353,604
  5. Step 5: Solve for x
    x = 746,665,353,604/561,305
  6. Step 6: Final answer
    x = 1,330,231.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.