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Finding the Third Proportional to 86,487 and 110,511

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Solution

The third proportional to 86,487 and 110,511 is: 141,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,487 : 110,511 = 110,511 : x
  2. Step 2: Convert to fraction form
    86,487/110,511 = 110,511/x
  3. Step 3: Cross multiply
    86,487x = 110,511 × 110,511
  4. Step 4: Simplify right side
    86,487x = 12,212,681,121
  5. Step 5: Solve for x
    x = 12,212,681,121/86,487
  6. Step 6: Final answer
    x = 141,208.29

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.