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Finding the Third Proportional to 199,034 and 420,532

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Solution

The third proportional to 199,034 and 420,532 is: 888,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,034 : 420,532 = 420,532 : x
  2. Step 2: Convert to fraction form
    199,034/420,532 = 420,532/x
  3. Step 3: Cross multiply
    199,034x = 420,532 × 420,532
  4. Step 4: Simplify right side
    199,034x = 176,847,163,024
  5. Step 5: Solve for x
    x = 176,847,163,024/199,034
  6. Step 6: Final answer
    x = 888,527.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.