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Finding the Third Proportional to 68,538 and 99,888

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Solution

The third proportional to 68,538 and 99,888 is: 145,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,538 : 99,888 = 99,888 : x
  2. Step 2: Convert to fraction form
    68,538/99,888 = 99,888/x
  3. Step 3: Cross multiply
    68,538x = 99,888 × 99,888
  4. Step 4: Simplify right side
    68,538x = 9,977,612,544
  5. Step 5: Solve for x
    x = 9,977,612,544/68,538
  6. Step 6: Final answer
    x = 145,577.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.