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Finding the Third Proportional to 380,216 and 531,566

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Solution

The third proportional to 380,216 and 531,566 is: 743,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,216 : 531,566 = 531,566 : x
  2. Step 2: Convert to fraction form
    380,216/531,566 = 531,566/x
  3. Step 3: Cross multiply
    380,216x = 531,566 × 531,566
  4. Step 4: Simplify right side
    380,216x = 282,562,412,356
  5. Step 5: Solve for x
    x = 282,562,412,356/380,216
  6. Step 6: Final answer
    x = 743,162.87

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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.