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Finding the Third Proportional to 68,563.50 and 109,487

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Solution

The third proportional to 68,563.50 and 109,487 is: 174,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,563.50 : 109,487 = 109,487 : x
  2. Step 2: Convert to fraction form
    68,563.50/109,487 = 109,487/x
  3. Step 3: Cross multiply
    68,563.50x = 109,487 × 109,487
  4. Step 4: Simplify right side
    68,563.50x = 11,987,403,169
  5. Step 5: Solve for x
    x = 11,987,403,169/68,563.50
  6. Step 6: Final answer
    x = 174,836.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.