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Finding the Third Proportional to 31,378.13 and 43,989

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Solution

The third proportional to 31,378.13 and 43,989 is: 61,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.13 : 43,989 = 43,989 : x
  2. Step 2: Convert to fraction form
    31,378.13/43,989 = 43,989/x
  3. Step 3: Cross multiply
    31,378.13x = 43,989 × 43,989
  4. Step 4: Simplify right side
    31,378.13x = 1,935,032,121
  5. Step 5: Solve for x
    x = 1,935,032,121/31,378.13
  6. Step 6: Final answer
    x = 61,668.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.