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Finding the Third Proportional to 85,880 and 136,284

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Solution

The third proportional to 85,880 and 136,284 is: 216,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,880 : 136,284 = 136,284 : x
  2. Step 2: Convert to fraction form
    85,880/136,284 = 136,284/x
  3. Step 3: Cross multiply
    85,880x = 136,284 × 136,284
  4. Step 4: Simplify right side
    85,880x = 18,573,328,656
  5. Step 5: Solve for x
    x = 18,573,328,656/85,880
  6. Step 6: Final answer
    x = 216,270.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.