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Finding the Third Proportional to 33,296.63 and 70,831.13

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Solution

The third proportional to 33,296.63 and 70,831.13 is: 150,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,296.63 : 70,831.13 = 70,831.13 : x
  2. Step 2: Convert to fraction form
    33,296.63/70,831.13 = 70,831.13/x
  3. Step 3: Cross multiply
    33,296.63x = 70,831.13 × 70,831.13
  4. Step 4: Simplify right side
    33,296.63x = 5,017,048,268.77
  5. Step 5: Solve for x
    x = 5,017,048,268.77/33,296.63
  6. Step 6: Final answer
    x = 150,677.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.