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Finding the Third Proportional to 378,860 and 588,210

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Solution

The third proportional to 378,860 and 588,210 is: 913,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,860 : 588,210 = 588,210 : x
  2. Step 2: Convert to fraction form
    378,860/588,210 = 588,210/x
  3. Step 3: Cross multiply
    378,860x = 588,210 × 588,210
  4. Step 4: Simplify right side
    378,860x = 345,991,004,100
  5. Step 5: Solve for x
    x = 345,991,004,100/378,860
  6. Step 6: Final answer
    x = 913,242.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.