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Finding the Third Proportional to 272,028 and 409,087

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Solution

The third proportional to 272,028 and 409,087 is: 615,202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,028 : 409,087 = 409,087 : x
  2. Step 2: Convert to fraction form
    272,028/409,087 = 409,087/x
  3. Step 3: Cross multiply
    272,028x = 409,087 × 409,087
  4. Step 4: Simplify right side
    272,028x = 167,352,173,569
  5. Step 5: Solve for x
    x = 167,352,173,569/272,028
  6. Step 6: Final answer
    x = 615,202.01

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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.