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Finding the Third Proportional to 18,931.22 and 39,094.31

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Solution

The third proportional to 18,931.22 and 39,094.31 is: 80,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,931.22 : 39,094.31 = 39,094.31 : x
  2. Step 2: Convert to fraction form
    18,931.22/39,094.31 = 39,094.31/x
  3. Step 3: Cross multiply
    18,931.22x = 39,094.31 × 39,094.31
  4. Step 4: Simplify right side
    18,931.22x = 1,528,365,269.85
  5. Step 5: Solve for x
    x = 1,528,365,269.85/18,931.22
  6. Step 6: Final answer
    x = 80,732.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.