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Finding the Third Proportional to 138,403.69 and 216,831.94

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Solution

The third proportional to 138,403.69 and 216,831.94 is: 339,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,403.69 : 216,831.94 = 216,831.94 : x
  2. Step 2: Convert to fraction form
    138,403.69/216,831.94 = 216,831.94/x
  3. Step 3: Cross multiply
    138,403.69x = 216,831.94 × 216,831.94
  4. Step 4: Simplify right side
    138,403.69x = 47,016,089,120.00
  5. Step 5: Solve for x
    x = 47,016,089,120.00/138,403.69
  6. Step 6: Final answer
    x = 339,702.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.