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Finding the Third Proportional to 201,153 and 431,514

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Solution

The third proportional to 201,153 and 431,514 is: 925,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,153 : 431,514 = 431,514 : x
  2. Step 2: Convert to fraction form
    201,153/431,514 = 431,514/x
  3. Step 3: Cross multiply
    201,153x = 431,514 × 431,514
  4. Step 4: Simplify right side
    201,153x = 186,204,332,196
  5. Step 5: Solve for x
    x = 186,204,332,196/201,153
  6. Step 6: Final answer
    x = 925,685.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.