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Finding the Third Proportional to 15,135 and 31,923.75

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Solution

The third proportional to 15,135 and 31,923.75 is: 67,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135 : 31,923.75 = 31,923.75 : x
  2. Step 2: Convert to fraction form
    15,135/31,923.75 = 31,923.75/x
  3. Step 3: Cross multiply
    15,135x = 31,923.75 × 31,923.75
  4. Step 4: Simplify right side
    15,135x = 1,019,125,814.06
  5. Step 5: Solve for x
    x = 1,019,125,814.06/15,135
  6. Step 6: Final answer
    x = 67,335.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.