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Finding the Third Proportional to 21,163.78 and 31,005.28

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Solution

The third proportional to 21,163.78 and 31,005.28 is: 45,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,163.78 : 31,005.28 = 31,005.28 : x
  2. Step 2: Convert to fraction form
    21,163.78/31,005.28 = 31,005.28/x
  3. Step 3: Cross multiply
    21,163.78x = 31,005.28 × 31,005.28
  4. Step 4: Simplify right side
    21,163.78x = 961,327,465.39
  5. Step 5: Solve for x
    x = 961,327,465.39/21,163.78
  6. Step 6: Final answer
    x = 45,423.24

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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.