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Finding the Third Proportional to 199,188 and 308,421

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Solution

The third proportional to 199,188 and 308,421 is: 477,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,188 : 308,421 = 308,421 : x
  2. Step 2: Convert to fraction form
    199,188/308,421 = 308,421/x
  3. Step 3: Cross multiply
    199,188x = 308,421 × 308,421
  4. Step 4: Simplify right side
    199,188x = 95,123,513,241
  5. Step 5: Solve for x
    x = 95,123,513,241/199,188
  6. Step 6: Final answer
    x = 477,556.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.