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Finding the Third Proportional to 19,129 and 31,611.50

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Solution

The third proportional to 19,129 and 31,611.50 is: 52,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,129 : 31,611.50 = 31,611.50 : x
  2. Step 2: Convert to fraction form
    19,129/31,611.50 = 31,611.50/x
  3. Step 3: Cross multiply
    19,129x = 31,611.50 × 31,611.50
  4. Step 4: Simplify right side
    19,129x = 999,286,932.25
  5. Step 5: Solve for x
    x = 999,286,932.25/19,129
  6. Step 6: Final answer
    x = 52,239.37

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.