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Finding the Third Proportional to 31,005.28 and 67,261.64

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Solution

The third proportional to 31,005.28 and 67,261.64 is: 145,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.28 : 67,261.64 = 67,261.64 : x
  2. Step 2: Convert to fraction form
    31,005.28/67,261.64 = 67,261.64/x
  3. Step 3: Cross multiply
    31,005.28x = 67,261.64 × 67,261.64
  4. Step 4: Simplify right side
    31,005.28x = 4,524,128,299.57
  5. Step 5: Solve for x
    x = 4,524,128,299.57/31,005.28
  6. Step 6: Final answer
    x = 145,914.76

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1.5x scale

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.