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Finding the Third Proportional to 81,816 and 110,507

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Solution

The third proportional to 81,816 and 110,507 is: 149,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,816 : 110,507 = 110,507 : x
  2. Step 2: Convert to fraction form
    81,816/110,507 = 110,507/x
  3. Step 3: Cross multiply
    81,816x = 110,507 × 110,507
  4. Step 4: Simplify right side
    81,816x = 12,211,797,049
  5. Step 5: Solve for x
    x = 12,211,797,049/81,816
  6. Step 6: Final answer
    x = 149,259.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.