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Finding the Third Proportional to 21,015.70 and 31,438.13

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Solution

The third proportional to 21,015.70 and 31,438.13 is: 47,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,015.70 : 31,438.13 = 31,438.13 : x
  2. Step 2: Convert to fraction form
    21,015.70/31,438.13 = 31,438.13/x
  3. Step 3: Cross multiply
    21,015.70x = 31,438.13 × 31,438.13
  4. Step 4: Simplify right side
    21,015.70x = 988,355,703.52
  5. Step 5: Solve for x
    x = 988,355,703.52/21,015.70
  6. Step 6: Final answer
    x = 47,029.39

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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.