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Finding the Third Proportional to 20,175.75 and 31,343.63

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Solution

The third proportional to 20,175.75 and 31,343.63 is: 48,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.75 : 31,343.63 = 31,343.63 : x
  2. Step 2: Convert to fraction form
    20,175.75/31,343.63 = 31,343.63/x
  3. Step 3: Cross multiply
    20,175.75x = 31,343.63 × 31,343.63
  4. Step 4: Simplify right side
    20,175.75x = 982,422,828.14
  5. Step 5: Solve for x
    x = 982,422,828.14/20,175.75
  6. Step 6: Final answer
    x = 48,693.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.