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Finding the Third Proportional to 86,515 and 187,718

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Solution

The third proportional to 86,515 and 187,718 is: 407,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,515 : 187,718 = 187,718 : x
  2. Step 2: Convert to fraction form
    86,515/187,718 = 187,718/x
  3. Step 3: Cross multiply
    86,515x = 187,718 × 187,718
  4. Step 4: Simplify right side
    86,515x = 35,238,047,524
  5. Step 5: Solve for x
    x = 35,238,047,524/86,515
  6. Step 6: Final answer
    x = 407,305.64

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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.