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Finding the Third Proportional to 557,009 and 1,189,186

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Solution

The third proportional to 557,009 and 1,189,186 is: 2,538,851.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,009 : 1,189,186 = 1,189,186 : x
  2. Step 2: Convert to fraction form
    557,009/1,189,186 = 1,189,186/x
  3. Step 3: Cross multiply
    557,009x = 1,189,186 × 1,189,186
  4. Step 4: Simplify right side
    557,009x = 1,414,163,342,596
  5. Step 5: Solve for x
    x = 1,414,163,342,596/557,009
  6. Step 6: Final answer
    x = 2,538,851.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.