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Finding the Third Proportional to 92,205 and 133,258.50

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Solution

The third proportional to 92,205 and 133,258.50 is: 192,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,205 : 133,258.50 = 133,258.50 : x
  2. Step 2: Convert to fraction form
    92,205/133,258.50 = 133,258.50/x
  3. Step 3: Cross multiply
    92,205x = 133,258.50 × 133,258.50
  4. Step 4: Simplify right side
    92,205x = 17,757,827,822.25
  5. Step 5: Solve for x
    x = 17,757,827,822.25/92,205
  6. Step 6: Final answer
    x = 192,590.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.