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Finding the Third Proportional to 86,085 and 187,416

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Solution

The third proportional to 86,085 and 187,416 is: 408,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,085 : 187,416 = 187,416 : x
  2. Step 2: Convert to fraction form
    86,085/187,416 = 187,416/x
  3. Step 3: Cross multiply
    86,085x = 187,416 × 187,416
  4. Step 4: Simplify right side
    86,085x = 35,124,757,056
  5. Step 5: Solve for x
    x = 35,124,757,056/86,085
  6. Step 6: Final answer
    x = 408,024.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.