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Finding the Third Proportional to 409,740 and 886,872

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Solution

The third proportional to 409,740 and 886,872 is: 1,919,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,740 : 886,872 = 886,872 : x
  2. Step 2: Convert to fraction form
    409,740/886,872 = 886,872/x
  3. Step 3: Cross multiply
    409,740x = 886,872 × 886,872
  4. Step 4: Simplify right side
    409,740x = 786,541,944,384
  5. Step 5: Solve for x
    x = 786,541,944,384/409,740
  6. Step 6: Final answer
    x = 1,919,612.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.