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Finding the Third Proportional to 20,435.63 and 31,246.88

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Solution

The third proportional to 20,435.63 and 31,246.88 is: 47,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,435.63 : 31,246.88 = 31,246.88 : x
  2. Step 2: Convert to fraction form
    20,435.63/31,246.88 = 31,246.88/x
  3. Step 3: Cross multiply
    20,435.63x = 31,246.88 × 31,246.88
  4. Step 4: Simplify right side
    20,435.63x = 976,367,197.27
  5. Step 5: Solve for x
    x = 976,367,197.27/20,435.63
  6. Step 6: Final answer
    x = 47,777.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.