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Finding the Third Proportional to 12,690.75 and 25,689

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Solution

The third proportional to 12,690.75 and 25,689 is: 52,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.75 : 25,689 = 25,689 : x
  2. Step 2: Convert to fraction form
    12,690.75/25,689 = 25,689/x
  3. Step 3: Cross multiply
    12,690.75x = 25,689 × 25,689
  4. Step 4: Simplify right side
    12,690.75x = 659,924,721
  5. Step 5: Solve for x
    x = 659,924,721/12,690.75
  6. Step 6: Final answer
    x = 52,000.45

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.