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Finding the Third Proportional to 20,800.13 and 31,119.19

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Solution

The third proportional to 20,800.13 and 31,119.19 is: 46,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.13 : 31,119.19 = 31,119.19 : x
  2. Step 2: Convert to fraction form
    20,800.13/31,119.19 = 31,119.19/x
  3. Step 3: Cross multiply
    20,800.13x = 31,119.19 × 31,119.19
  4. Step 4: Simplify right side
    20,800.13x = 968,403,830.66
  5. Step 5: Solve for x
    x = 968,403,830.66/20,800.13
  6. Step 6: Final answer
    x = 46,557.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.