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Finding the Third Proportional to 14,137.50 and 30,705

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Solution

The third proportional to 14,137.50 and 30,705 is: 66,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.50 : 30,705 = 30,705 : x
  2. Step 2: Convert to fraction form
    14,137.50/30,705 = 30,705/x
  3. Step 3: Cross multiply
    14,137.50x = 30,705 × 30,705
  4. Step 4: Simplify right side
    14,137.50x = 942,797,025
  5. Step 5: Solve for x
    x = 942,797,025/14,137.50
  6. Step 6: Final answer
    x = 66,687.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.