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Finding the Third Proportional to 199,202 and 428,612

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Solution

The third proportional to 199,202 and 428,612 is: 922,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,202 : 428,612 = 428,612 : x
  2. Step 2: Convert to fraction form
    199,202/428,612 = 428,612/x
  3. Step 3: Cross multiply
    199,202x = 428,612 × 428,612
  4. Step 4: Simplify right side
    199,202x = 183,708,246,544
  5. Step 5: Solve for x
    x = 183,708,246,544/199,202
  6. Step 6: Final answer
    x = 922,220.89

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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.