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Finding the Third Proportional to 380,210 and 531,561

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Solution

The third proportional to 380,210 and 531,561 is: 743,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,210 : 531,561 = 531,561 : x
  2. Step 2: Convert to fraction form
    380,210/531,561 = 531,561/x
  3. Step 3: Cross multiply
    380,210x = 531,561 × 531,561
  4. Step 4: Simplify right side
    380,210x = 282,557,096,721
  5. Step 5: Solve for x
    x = 282,557,096,721/380,210
  6. Step 6: Final answer
    x = 743,160.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.