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Finding the Third Proportional to 65,831.25 and 128,378.25

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Solution

The third proportional to 65,831.25 and 128,378.25 is: 250,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,831.25 : 128,378.25 = 128,378.25 : x
  2. Step 2: Convert to fraction form
    65,831.25/128,378.25 = 128,378.25/x
  3. Step 3: Cross multiply
    65,831.25x = 128,378.25 × 128,378.25
  4. Step 4: Simplify right side
    65,831.25x = 16,480,975,073.06
  5. Step 5: Solve for x
    x = 16,480,975,073.06/65,831.25
  6. Step 6: Final answer
    x = 250,351.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.