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Finding the Third Proportional to 409,280 and 886,848

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Solution

The third proportional to 409,280 and 886,848 is: 1,921,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,280 : 886,848 = 886,848 : x
  2. Step 2: Convert to fraction form
    409,280/886,848 = 886,848/x
  3. Step 3: Cross multiply
    409,280x = 886,848 × 886,848
  4. Step 4: Simplify right side
    409,280x = 786,499,375,104
  5. Step 5: Solve for x
    x = 786,499,375,104/409,280
  6. Step 6: Final answer
    x = 1,921,665.79

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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.