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Finding the Third Proportional to 25,089.75 and 31,438.13

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Solution

The third proportional to 25,089.75 and 31,438.13 is: 39,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,089.75 : 31,438.13 = 31,438.13 : x
  2. Step 2: Convert to fraction form
    25,089.75/31,438.13 = 31,438.13/x
  3. Step 3: Cross multiply
    25,089.75x = 31,438.13 × 31,438.13
  4. Step 4: Simplify right side
    25,089.75x = 988,355,703.52
  5. Step 5: Solve for x
    x = 988,355,703.52/25,089.75
  6. Step 6: Final answer
    x = 39,392.81

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.