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Finding the Third Proportional to 21,200.25 and 31,152.38

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Solution

The third proportional to 21,200.25 and 31,152.38 is: 45,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.25 : 31,152.38 = 31,152.38 : x
  2. Step 2: Convert to fraction form
    21,200.25/31,152.38 = 31,152.38/x
  3. Step 3: Cross multiply
    21,200.25x = 31,152.38 × 31,152.38
  4. Step 4: Simplify right side
    21,200.25x = 970,470,468.14
  5. Step 5: Solve for x
    x = 970,470,468.14/21,200.25
  6. Step 6: Final answer
    x = 45,776.37

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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.