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Finding the Third Proportional to 31,821.75 and 47,205

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Solution

The third proportional to 31,821.75 and 47,205 is: 70,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,821.75 : 47,205 = 47,205 : x
  2. Step 2: Convert to fraction form
    31,821.75/47,205 = 47,205/x
  3. Step 3: Cross multiply
    31,821.75x = 47,205 × 47,205
  4. Step 4: Simplify right side
    31,821.75x = 2,228,312,025
  5. Step 5: Solve for x
    x = 2,228,312,025/31,821.75
  6. Step 6: Final answer
    x = 70,024.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.