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Finding the Third Proportional to 286,387 and 433,198

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Solution

The third proportional to 286,387 and 433,198 is: 655,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,387 : 433,198 = 433,198 : x
  2. Step 2: Convert to fraction form
    286,387/433,198 = 433,198/x
  3. Step 3: Cross multiply
    286,387x = 433,198 × 433,198
  4. Step 4: Simplify right side
    286,387x = 187,660,507,204
  5. Step 5: Solve for x
    x = 187,660,507,204/286,387
  6. Step 6: Final answer
    x = 655,268.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.