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Finding the Third Proportional to 380,218 and 531,569

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Solution

The third proportional to 380,218 and 531,569 is: 743,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,218 : 531,569 = 531,569 : x
  2. Step 2: Convert to fraction form
    380,218/531,569 = 531,569/x
  3. Step 3: Cross multiply
    380,218x = 531,569 × 531,569
  4. Step 4: Simplify right side
    380,218x = 282,565,601,761
  5. Step 5: Solve for x
    x = 282,565,601,761/380,218
  6. Step 6: Final answer
    x = 743,167.35

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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.