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Finding the Third Proportional to 19,831.50 and 43,280.44

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Solution

The third proportional to 19,831.50 and 43,280.44 is: 94,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.50 : 43,280.44 = 43,280.44 : x
  2. Step 2: Convert to fraction form
    19,831.50/43,280.44 = 43,280.44/x
  3. Step 3: Cross multiply
    19,831.50x = 43,280.44 × 43,280.44
  4. Step 4: Simplify right side
    19,831.50x = 1,873,196,270.19
  5. Step 5: Solve for x
    x = 1,873,196,270.19/19,831.50
  6. Step 6: Final answer
    x = 94,455.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.