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Finding the Third Proportional to 86,516 and 110,553

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Solution

The third proportional to 86,516 and 110,553 is: 141,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,516 : 110,553 = 110,553 : x
  2. Step 2: Convert to fraction form
    86,516/110,553 = 110,553/x
  3. Step 3: Cross multiply
    86,516x = 110,553 × 110,553
  4. Step 4: Simplify right side
    86,516x = 12,221,965,809
  5. Step 5: Solve for x
    x = 12,221,965,809/86,516
  6. Step 6: Final answer
    x = 141,268.27

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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.