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Finding the Third Proportional to 31,009.50 and 40,135.50

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Solution

The third proportional to 31,009.50 and 40,135.50 is: 51,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.50 : 40,135.50 = 40,135.50 : x
  2. Step 2: Convert to fraction form
    31,009.50/40,135.50 = 40,135.50/x
  3. Step 3: Cross multiply
    31,009.50x = 40,135.50 × 40,135.50
  4. Step 4: Simplify right side
    31,009.50x = 1,610,858,360.25
  5. Step 5: Solve for x
    x = 1,610,858,360.25/31,009.50
  6. Step 6: Final answer
    x = 51,947.25

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.