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Finding the Third Proportional to 409,898 and 890,716

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Solution

The third proportional to 409,898 and 890,716 is: 1,935,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,898 : 890,716 = 890,716 : x
  2. Step 2: Convert to fraction form
    409,898/890,716 = 890,716/x
  3. Step 3: Cross multiply
    409,898x = 890,716 × 890,716
  4. Step 4: Simplify right side
    409,898x = 793,374,992,656
  5. Step 5: Solve for x
    x = 793,374,992,656/409,898
  6. Step 6: Final answer
    x = 1,935,542.48

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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.