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Finding the Third Proportional to 7,905.52 and 11,737.41

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Solution

The third proportional to 7,905.52 and 11,737.41 is: 17,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.52 : 11,737.41 = 11,737.41 : x
  2. Step 2: Convert to fraction form
    7,905.52/11,737.41 = 11,737.41/x
  3. Step 3: Cross multiply
    7,905.52x = 11,737.41 × 11,737.41
  4. Step 4: Simplify right side
    7,905.52x = 137,766,705.48
  5. Step 5: Solve for x
    x = 137,766,705.48/7,905.52
  6. Step 6: Final answer
    x = 17,426.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.