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Finding the Third Proportional to 31,385.81 and 43,999.88

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Solution

The third proportional to 31,385.81 and 43,999.88 is: 61,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,385.81 : 43,999.88 = 43,999.88 : x
  2. Step 2: Convert to fraction form
    31,385.81/43,999.88 = 43,999.88/x
  3. Step 3: Cross multiply
    31,385.81x = 43,999.88 × 43,999.88
  4. Step 4: Simplify right side
    31,385.81x = 1,935,989,000.02
  5. Step 5: Solve for x
    x = 1,935,989,000.02/31,385.81
  6. Step 6: Final answer
    x = 61,683.57

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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.