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Finding the Third Proportional to 42,840.75 and 92,831.25

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Solution

The third proportional to 42,840.75 and 92,831.25 is: 201,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,840.75 : 92,831.25 = 92,831.25 : x
  2. Step 2: Convert to fraction form
    42,840.75/92,831.25 = 92,831.25/x
  3. Step 3: Cross multiply
    42,840.75x = 92,831.25 × 92,831.25
  4. Step 4: Simplify right side
    42,840.75x = 8,617,640,976.56
  5. Step 5: Solve for x
    x = 8,617,640,976.56/42,840.75
  6. Step 6: Final answer
    x = 201,155.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.