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Finding the Third Proportional to 68,622.75 and 99,807

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Solution

The third proportional to 68,622.75 and 99,807 is: 145,162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,622.75 : 99,807 = 99,807 : x
  2. Step 2: Convert to fraction form
    68,622.75/99,807 = 99,807/x
  3. Step 3: Cross multiply
    68,622.75x = 99,807 × 99,807
  4. Step 4: Simplify right side
    68,622.75x = 9,961,437,249
  5. Step 5: Solve for x
    x = 9,961,437,249/68,622.75
  6. Step 6: Final answer
    x = 145,162.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.