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Finding the Third Proportional to 618,278 and 1,342,306

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Solution

The third proportional to 618,278 and 1,342,306 is: 2,914,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,278 : 1,342,306 = 1,342,306 : x
  2. Step 2: Convert to fraction form
    618,278/1,342,306 = 1,342,306/x
  3. Step 3: Cross multiply
    618,278x = 1,342,306 × 1,342,306
  4. Step 4: Simplify right side
    618,278x = 1,801,785,397,636
  5. Step 5: Solve for x
    x = 1,801,785,397,636/618,278
  6. Step 6: Final answer
    x = 2,914,199.43

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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.