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Finding the Third Proportional to 19,321.31 and 40,718.81

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Solution

The third proportional to 19,321.31 and 40,718.81 is: 85,813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,321.31 : 40,718.81 = 40,718.81 : x
  2. Step 2: Convert to fraction form
    19,321.31/40,718.81 = 40,718.81/x
  3. Step 3: Cross multiply
    19,321.31x = 40,718.81 × 40,718.81
  4. Step 4: Simplify right side
    19,321.31x = 1,658,021,691.41
  5. Step 5: Solve for x
    x = 1,658,021,691.41/19,321.31
  6. Step 6: Final answer
    x = 85,813.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.