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Finding the Third Proportional to 20,455.66 and 31,431.01

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Solution

The third proportional to 20,455.66 and 31,431.01 is: 48,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,455.66 : 31,431.01 = 31,431.01 : x
  2. Step 2: Convert to fraction form
    20,455.66/31,431.01 = 31,431.01/x
  3. Step 3: Cross multiply
    20,455.66x = 31,431.01 × 31,431.01
  4. Step 4: Simplify right side
    20,455.66x = 987,908,129.33
  5. Step 5: Solve for x
    x = 987,908,129.33/20,455.66
  6. Step 6: Final answer
    x = 48,295.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.