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Finding the Third Proportional to 15,840 and 25,080.75

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Solution

The third proportional to 15,840 and 25,080.75 is: 39,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840 : 25,080.75 = 25,080.75 : x
  2. Step 2: Convert to fraction form
    15,840/25,080.75 = 25,080.75/x
  3. Step 3: Cross multiply
    15,840x = 25,080.75 × 25,080.75
  4. Step 4: Simplify right side
    15,840x = 629,044,020.56
  5. Step 5: Solve for x
    x = 629,044,020.56/15,840
  6. Step 6: Final answer
    x = 39,712.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.