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Finding the Third Proportional to 33,303 and 68,913.75

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Solution

The third proportional to 33,303 and 68,913.75 is: 142,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,303 : 68,913.75 = 68,913.75 : x
  2. Step 2: Convert to fraction form
    33,303/68,913.75 = 68,913.75/x
  3. Step 3: Cross multiply
    33,303x = 68,913.75 × 68,913.75
  4. Step 4: Simplify right side
    33,303x = 4,749,104,939.06
  5. Step 5: Solve for x
    x = 4,749,104,939.06/33,303
  6. Step 6: Final answer
    x = 142,602.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.