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Finding the Third Proportional to 217,391.88 and 285,869.25

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Solution

The third proportional to 217,391.88 and 285,869.25 is: 375,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,391.88 : 285,869.25 = 285,869.25 : x
  2. Step 2: Convert to fraction form
    217,391.88/285,869.25 = 285,869.25/x
  3. Step 3: Cross multiply
    217,391.88x = 285,869.25 × 285,869.25
  4. Step 4: Simplify right side
    217,391.88x = 81,721,228,095.56
  5. Step 5: Solve for x
    x = 81,721,228,095.56/217,391.88
  6. Step 6: Final answer
    x = 375,916.66

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.