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Finding the Third Proportional to 21,147.75 and 31,033.13

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Solution

The third proportional to 21,147.75 and 31,033.13 is: 45,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.75 : 31,033.13 = 31,033.13 : x
  2. Step 2: Convert to fraction form
    21,147.75/31,033.13 = 31,033.13/x
  3. Step 3: Cross multiply
    21,147.75x = 31,033.13 × 31,033.13
  4. Step 4: Simplify right side
    21,147.75x = 963,054,847.27
  5. Step 5: Solve for x
    x = 963,054,847.27/21,147.75
  6. Step 6: Final answer
    x = 45,539.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.