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Finding the Third Proportional to 20,737.50 and 31,106.25

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Solution

The third proportional to 20,737.50 and 31,106.25 is: 46,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.50 : 31,106.25 = 31,106.25 : x
  2. Step 2: Convert to fraction form
    20,737.50/31,106.25 = 31,106.25/x
  3. Step 3: Cross multiply
    20,737.50x = 31,106.25 × 31,106.25
  4. Step 4: Simplify right side
    20,737.50x = 967,598,789.06
  5. Step 5: Solve for x
    x = 967,598,789.06/20,737.50
  6. Step 6: Final answer
    x = 46,659.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.