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Finding the Third Proportional to 10,455.75 and 16,378.88

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Solution

The third proportional to 10,455.75 and 16,378.88 is: 25,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.75 : 16,378.88 = 16,378.88 : x
  2. Step 2: Convert to fraction form
    10,455.75/16,378.88 = 16,378.88/x
  3. Step 3: Cross multiply
    10,455.75x = 16,378.88 × 16,378.88
  4. Step 4: Simplify right side
    10,455.75x = 268,267,546.27
  5. Step 5: Solve for x
    x = 268,267,546.27/10,455.75
  6. Step 6: Final answer
    x = 25,657.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.