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Finding the Third Proportional to 31,088.10 and 66,611.90

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Solution

The third proportional to 31,088.10 and 66,611.90 is: 142,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,088.10 : 66,611.90 = 66,611.90 : x
  2. Step 2: Convert to fraction form
    31,088.10/66,611.90 = 66,611.90/x
  3. Step 3: Cross multiply
    31,088.10x = 66,611.90 × 66,611.90
  4. Step 4: Simplify right side
    31,088.10x = 4,437,145,273.65
  5. Step 5: Solve for x
    x = 4,437,145,273.65/31,088.10
  6. Step 6: Final answer
    x = 142,728.09

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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.