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Finding the Third Proportional to 71,563.50 and 107,831.25

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Solution

The third proportional to 71,563.50 and 107,831.25 is: 162,479.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,563.50 : 107,831.25 = 107,831.25 : x
  2. Step 2: Convert to fraction form
    71,563.50/107,831.25 = 107,831.25/x
  3. Step 3: Cross multiply
    71,563.50x = 107,831.25 × 107,831.25
  4. Step 4: Simplify right side
    71,563.50x = 11,627,578,476.56
  5. Step 5: Solve for x
    x = 11,627,578,476.56/71,563.50
  6. Step 6: Final answer
    x = 162,479.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.