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Finding the Third Proportional to 20,055.66 and 31,180.36

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Solution

The third proportional to 20,055.66 and 31,180.36 is: 48,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,055.66 : 31,180.36 = 31,180.36 : x
  2. Step 2: Convert to fraction form
    20,055.66/31,180.36 = 31,180.36/x
  3. Step 3: Cross multiply
    20,055.66x = 31,180.36 × 31,180.36
  4. Step 4: Simplify right side
    20,055.66x = 972,214,810.75
  5. Step 5: Solve for x
    x = 972,214,810.75/20,055.66
  6. Step 6: Final answer
    x = 48,475.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.