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Finding the Third Proportional to 409,028 and 878,774

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Solution

The third proportional to 409,028 and 878,774 is: 1,887,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,028 : 878,774 = 878,774 : x
  2. Step 2: Convert to fraction form
    409,028/878,774 = 878,774/x
  3. Step 3: Cross multiply
    409,028x = 878,774 × 878,774
  4. Step 4: Simplify right side
    409,028x = 772,243,743,076
  5. Step 5: Solve for x
    x = 772,243,743,076/409,028
  6. Step 6: Final answer
    x = 1,887,997.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.