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Finding the Third Proportional to 68,800.50 and 109,455

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Solution

The third proportional to 68,800.50 and 109,455 is: 174,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,800.50 : 109,455 = 109,455 : x
  2. Step 2: Convert to fraction form
    68,800.50/109,455 = 109,455/x
  3. Step 3: Cross multiply
    68,800.50x = 109,455 × 109,455
  4. Step 4: Simplify right side
    68,800.50x = 11,980,397,025
  5. Step 5: Solve for x
    x = 11,980,397,025/68,800.50
  6. Step 6: Final answer
    x = 174,132.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.