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Finding the Third Proportional to 31,068 and 66,489.75

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Solution

The third proportional to 31,068 and 66,489.75 is: 142,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,068 : 66,489.75 = 66,489.75 : x
  2. Step 2: Convert to fraction form
    31,068/66,489.75 = 66,489.75/x
  3. Step 3: Cross multiply
    31,068x = 66,489.75 × 66,489.75
  4. Step 4: Simplify right side
    31,068x = 4,420,886,855.06
  5. Step 5: Solve for x
    x = 4,420,886,855.06/31,068
  6. Step 6: Final answer
    x = 142,297.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.