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Finding the Third Proportional to 15,529.75 and 20,690.63

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Solution

The third proportional to 15,529.75 and 20,690.63 is: 27,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,529.75 : 20,690.63 = 20,690.63 : x
  2. Step 2: Convert to fraction form
    15,529.75/20,690.63 = 20,690.63/x
  3. Step 3: Cross multiply
    15,529.75x = 20,690.63 × 20,690.63
  4. Step 4: Simplify right side
    15,529.75x = 428,101,962.89
  5. Step 5: Solve for x
    x = 428,101,962.89/15,529.75
  6. Step 6: Final answer
    x = 27,566.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.