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Finding the Third Proportional to 511,978 and 1,102,446

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Solution

The third proportional to 511,978 and 1,102,446 is: 2,373,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,978 : 1,102,446 = 1,102,446 : x
  2. Step 2: Convert to fraction form
    511,978/1,102,446 = 1,102,446/x
  3. Step 3: Cross multiply
    511,978x = 1,102,446 × 1,102,446
  4. Step 4: Simplify right side
    511,978x = 1,215,387,182,916
  5. Step 5: Solve for x
    x = 1,215,387,182,916/511,978
  6. Step 6: Final answer
    x = 2,373,905.10

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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.