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Finding the Third Proportional to 21,126.83 and 31,624.44

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Solution

The third proportional to 21,126.83 and 31,624.44 is: 47,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,126.83 : 31,624.44 = 31,624.44 : x
  2. Step 2: Convert to fraction form
    21,126.83/31,624.44 = 31,624.44/x
  3. Step 3: Cross multiply
    21,126.83x = 31,624.44 × 31,624.44
  4. Step 4: Simplify right side
    21,126.83x = 1,000,104,923.66
  5. Step 5: Solve for x
    x = 1,000,104,923.66/21,126.83
  6. Step 6: Final answer
    x = 47,338.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.