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Finding the Third Proportional to 272,103 and 409,200

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Solution

The third proportional to 272,103 and 409,200 is: 615,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,103 : 409,200 = 409,200 : x
  2. Step 2: Convert to fraction form
    272,103/409,200 = 409,200/x
  3. Step 3: Cross multiply
    272,103x = 409,200 × 409,200
  4. Step 4: Simplify right side
    272,103x = 167,444,640,000
  5. Step 5: Solve for x
    x = 167,444,640,000/272,103
  6. Step 6: Final answer
    x = 615,372.27

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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.