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Finding the Third Proportional to 86,487 and 188,625

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Solution

The third proportional to 86,487 and 188,625 is: 411,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,487 : 188,625 = 188,625 : x
  2. Step 2: Convert to fraction form
    86,487/188,625 = 188,625/x
  3. Step 3: Cross multiply
    86,487x = 188,625 × 188,625
  4. Step 4: Simplify right side
    86,487x = 35,579,390,625
  5. Step 5: Solve for x
    x = 35,579,390,625/86,487
  6. Step 6: Final answer
    x = 411,384.26

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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.