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Finding the Third Proportional to 272,116 and 409,212

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Solution

The third proportional to 272,116 and 409,212 is: 615,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,116 : 409,212 = 409,212 : x
  2. Step 2: Convert to fraction form
    272,116/409,212 = 409,212/x
  3. Step 3: Cross multiply
    272,116x = 409,212 × 409,212
  4. Step 4: Simplify right side
    272,116x = 167,454,460,944
  5. Step 5: Solve for x
    x = 167,454,460,944/272,116
  6. Step 6: Final answer
    x = 615,378.96

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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.