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Finding the Third Proportional to 811,242 and 1,261,110

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Solution

The third proportional to 811,242 and 1,261,110 is: 1,960,448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,242 : 1,261,110 = 1,261,110 : x
  2. Step 2: Convert to fraction form
    811,242/1,261,110 = 1,261,110/x
  3. Step 3: Cross multiply
    811,242x = 1,261,110 × 1,261,110
  4. Step 4: Simplify right side
    811,242x = 1,590,398,432,100
  5. Step 5: Solve for x
    x = 1,590,398,432,100/811,242
  6. Step 6: Final answer
    x = 1,960,448.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.