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Finding the Third Proportional to 133,222 and 199,428

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Solution

The third proportional to 133,222 and 199,428 is: 298,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,222 : 199,428 = 199,428 : x
  2. Step 2: Convert to fraction form
    133,222/199,428 = 199,428/x
  3. Step 3: Cross multiply
    133,222x = 199,428 × 199,428
  4. Step 4: Simplify right side
    133,222x = 39,771,527,184
  5. Step 5: Solve for x
    x = 39,771,527,184/133,222
  6. Step 6: Final answer
    x = 298,535.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.