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Finding the Third Proportional to 33,258 and 72,335

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Solution

The third proportional to 33,258 and 72,335 is: 157,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,258 : 72,335 = 72,335 : x
  2. Step 2: Convert to fraction form
    33,258/72,335 = 72,335/x
  3. Step 3: Cross multiply
    33,258x = 72,335 × 72,335
  4. Step 4: Simplify right side
    33,258x = 5,232,352,225
  5. Step 5: Solve for x
    x = 5,232,352,225/33,258
  6. Step 6: Final answer
    x = 157,326.12

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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.