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Finding the Third Proportional to 86,512 and 187,792

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Solution

The third proportional to 86,512 and 187,792 is: 407,640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,512 : 187,792 = 187,792 : x
  2. Step 2: Convert to fraction form
    86,512/187,792 = 187,792/x
  3. Step 3: Cross multiply
    86,512x = 187,792 × 187,792
  4. Step 4: Simplify right side
    86,512x = 35,265,835,264
  5. Step 5: Solve for x
    x = 35,265,835,264/86,512
  6. Step 6: Final answer
    x = 407,640.97

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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.