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Finding the Third Proportional to 15,999.75 and 22,378.50

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Solution

The third proportional to 15,999.75 and 22,378.50 is: 31,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.75 : 22,378.50 = 22,378.50 : x
  2. Step 2: Convert to fraction form
    15,999.75/22,378.50 = 22,378.50/x
  3. Step 3: Cross multiply
    15,999.75x = 22,378.50 × 22,378.50
  4. Step 4: Simplify right side
    15,999.75x = 500,797,262.25
  5. Step 5: Solve for x
    x = 500,797,262.25/15,999.75
  6. Step 6: Final answer
    x = 31,300.32

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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.