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Finding the Third Proportional to 20,415.50 and 31,531

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Solution

The third proportional to 20,415.50 and 31,531 is: 48,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.50 : 31,531 = 31,531 : x
  2. Step 2: Convert to fraction form
    20,415.50/31,531 = 31,531/x
  3. Step 3: Cross multiply
    20,415.50x = 31,531 × 31,531
  4. Step 4: Simplify right side
    20,415.50x = 994,203,961
  5. Step 5: Solve for x
    x = 994,203,961/20,415.50
  6. Step 6: Final answer
    x = 48,698.49

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.