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Finding the Third Proportional to 272,112 and 409,206

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Solution

The third proportional to 272,112 and 409,206 is: 615,369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,112 : 409,206 = 409,206 : x
  2. Step 2: Convert to fraction form
    272,112/409,206 = 409,206/x
  3. Step 3: Cross multiply
    272,112x = 409,206 × 409,206
  4. Step 4: Simplify right side
    272,112x = 167,449,550,436
  5. Step 5: Solve for x
    x = 167,449,550,436/272,112
  6. Step 6: Final answer
    x = 615,369.96

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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.