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Finding the Third Proportional to 18,693.75 and 31,155.75

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Solution

The third proportional to 18,693.75 and 31,155.75 is: 51,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,693.75 : 31,155.75 = 31,155.75 : x
  2. Step 2: Convert to fraction form
    18,693.75/31,155.75 = 31,155.75/x
  3. Step 3: Cross multiply
    18,693.75x = 31,155.75 × 31,155.75
  4. Step 4: Simplify right side
    18,693.75x = 970,680,758.06
  5. Step 5: Solve for x
    x = 970,680,758.06/18,693.75
  6. Step 6: Final answer
    x = 51,925.42

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.