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Finding the Third Proportional to 272,088 and 409,176

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Solution

The third proportional to 272,088 and 409,176 is: 615,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,088 : 409,176 = 409,176 : x
  2. Step 2: Convert to fraction form
    272,088/409,176 = 409,176/x
  3. Step 3: Cross multiply
    272,088x = 409,176 × 409,176
  4. Step 4: Simplify right side
    272,088x = 167,424,998,976
  5. Step 5: Solve for x
    x = 167,424,998,976/272,088
  6. Step 6: Final answer
    x = 615,334.01

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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.