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Finding the Third Proportional to 31,587.75 and 47,709.56

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Solution

The third proportional to 31,587.75 and 47,709.56 is: 72,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,587.75 : 47,709.56 = 47,709.56 : x
  2. Step 2: Convert to fraction form
    31,587.75/47,709.56 = 47,709.56/x
  3. Step 3: Cross multiply
    31,587.75x = 47,709.56 × 47,709.56
  4. Step 4: Simplify right side
    31,587.75x = 2,276,202,353.94
  5. Step 5: Solve for x
    x = 2,276,202,353.94/31,587.75
  6. Step 6: Final answer
    x = 72,059.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.