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Finding the Third Proportional to 68,583 and 103,605

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Solution

The third proportional to 68,583 and 103,605 is: 156,511.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,583 : 103,605 = 103,605 : x
  2. Step 2: Convert to fraction form
    68,583/103,605 = 103,605/x
  3. Step 3: Cross multiply
    68,583x = 103,605 × 103,605
  4. Step 4: Simplify right side
    68,583x = 10,733,996,025
  5. Step 5: Solve for x
    x = 10,733,996,025/68,583
  6. Step 6: Final answer
    x = 156,511.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.