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Finding the Third Proportional to 31,854 and 69,159

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Solution

The third proportional to 31,854 and 69,159 is: 150,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854 : 69,159 = 69,159 : x
  2. Step 2: Convert to fraction form
    31,854/69,159 = 69,159/x
  3. Step 3: Cross multiply
    31,854x = 69,159 × 69,159
  4. Step 4: Simplify right side
    31,854x = 4,782,967,281
  5. Step 5: Solve for x
    x = 4,782,967,281/31,854
  6. Step 6: Final answer
    x = 150,152.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.