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Finding the Third Proportional to 8,957.25 and 20,916.56

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Solution

The third proportional to 8,957.25 and 20,916.56 is: 48,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.25 : 20,916.56 = 20,916.56 : x
  2. Step 2: Convert to fraction form
    8,957.25/20,916.56 = 20,916.56/x
  3. Step 3: Cross multiply
    8,957.25x = 20,916.56 × 20,916.56
  4. Step 4: Simplify right side
    8,957.25x = 437,502,586.82
  5. Step 5: Solve for x
    x = 437,502,586.82/8,957.25
  6. Step 6: Final answer
    x = 48,843.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.