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Finding the Third Proportional to 217,392 and 285,869.38

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Solution

The third proportional to 217,392 and 285,869.38 is: 375,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,392 : 285,869.38 = 285,869.38 : x
  2. Step 2: Convert to fraction form
    217,392/285,869.38 = 285,869.38/x
  3. Step 3: Cross multiply
    217,392x = 285,869.38 × 285,869.38
  4. Step 4: Simplify right side
    217,392x = 81,721,299,562.89
  5. Step 5: Solve for x
    x = 81,721,299,562.89/217,392
  6. Step 6: Final answer
    x = 375,916.78

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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.