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Finding the Third Proportional to 275,217 and 411,544

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Solution

The third proportional to 275,217 and 411,544 is: 615,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,217 : 411,544 = 411,544 : x
  2. Step 2: Convert to fraction form
    275,217/411,544 = 411,544/x
  3. Step 3: Cross multiply
    275,217x = 411,544 × 411,544
  4. Step 4: Simplify right side
    275,217x = 169,368,463,936
  5. Step 5: Solve for x
    x = 169,368,463,936/275,217
  6. Step 6: Final answer
    x = 615,399.72

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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.