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Finding the Third Proportional to 199,512 and 268,808

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Solution

The third proportional to 199,512 and 268,808 is: 362,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,512 : 268,808 = 268,808 : x
  2. Step 2: Convert to fraction form
    199,512/268,808 = 268,808/x
  3. Step 3: Cross multiply
    199,512x = 268,808 × 268,808
  4. Step 4: Simplify right side
    199,512x = 72,257,740,864
  5. Step 5: Solve for x
    x = 72,257,740,864/199,512
  6. Step 6: Final answer
    x = 362,172.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.