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Finding the Third Proportional to 357,678 and 517,212

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Solution

The third proportional to 357,678 and 517,212 is: 747,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,678 : 517,212 = 517,212 : x
  2. Step 2: Convert to fraction form
    357,678/517,212 = 517,212/x
  3. Step 3: Cross multiply
    357,678x = 517,212 × 517,212
  4. Step 4: Simplify right side
    357,678x = 267,508,252,944
  5. Step 5: Solve for x
    x = 267,508,252,944/357,678
  6. Step 6: Final answer
    x = 747,902.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.