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Finding the Third Proportional to 557,606 and 1,187,138

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Solution

The third proportional to 557,606 and 1,187,138 is: 2,527,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,606 : 1,187,138 = 1,187,138 : x
  2. Step 2: Convert to fraction form
    557,606/1,187,138 = 1,187,138/x
  3. Step 3: Cross multiply
    557,606x = 1,187,138 × 1,187,138
  4. Step 4: Simplify right side
    557,606x = 1,409,296,631,044
  5. Step 5: Solve for x
    x = 1,409,296,631,044/557,606
  6. Step 6: Final answer
    x = 2,527,405.79

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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.