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Finding the Third Proportional to 87,303 and 133,480.50

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Solution

The third proportional to 87,303 and 133,480.50 is: 204,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,303 : 133,480.50 = 133,480.50 : x
  2. Step 2: Convert to fraction form
    87,303/133,480.50 = 133,480.50/x
  3. Step 3: Cross multiply
    87,303x = 133,480.50 × 133,480.50
  4. Step 4: Simplify right side
    87,303x = 17,817,043,880.25
  5. Step 5: Solve for x
    x = 17,817,043,880.25/87,303
  6. Step 6: Final answer
    x = 204,082.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.