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Finding the Third Proportional to 31,219 and 66,904.50

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Solution

The third proportional to 31,219 and 66,904.50 is: 143,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,219 : 66,904.50 = 66,904.50 : x
  2. Step 2: Convert to fraction form
    31,219/66,904.50 = 66,904.50/x
  3. Step 3: Cross multiply
    31,219x = 66,904.50 × 66,904.50
  4. Step 4: Simplify right side
    31,219x = 4,476,212,120.25
  5. Step 5: Solve for x
    x = 4,476,212,120.25/31,219
  6. Step 6: Final answer
    x = 143,381.02

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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.