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Finding the Third Proportional to 357,181 and 486,412

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Solution

The third proportional to 357,181 and 486,412 is: 662,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,181 : 486,412 = 486,412 : x
  2. Step 2: Convert to fraction form
    357,181/486,412 = 486,412/x
  3. Step 3: Cross multiply
    357,181x = 486,412 × 486,412
  4. Step 4: Simplify right side
    357,181x = 236,596,633,744
  5. Step 5: Solve for x
    x = 236,596,633,744/357,181
  6. Step 6: Final answer
    x = 662,399.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.