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Finding the Third Proportional to 268,731 and 388,471

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Solution

The third proportional to 268,731 and 388,471 is: 561,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,731 : 388,471 = 388,471 : x
  2. Step 2: Convert to fraction form
    268,731/388,471 = 388,471/x
  3. Step 3: Cross multiply
    268,731x = 388,471 × 388,471
  4. Step 4: Simplify right side
    268,731x = 150,909,717,841
  5. Step 5: Solve for x
    x = 150,909,717,841/268,731
  6. Step 6: Final answer
    x = 561,564.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.