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Finding the Third Proportional to 31,238.25 and 70,317

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Solution

The third proportional to 31,238.25 and 70,317 is: 158,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238.25 : 70,317 = 70,317 : x
  2. Step 2: Convert to fraction form
    31,238.25/70,317 = 70,317/x
  3. Step 3: Cross multiply
    31,238.25x = 70,317 × 70,317
  4. Step 4: Simplify right side
    31,238.25x = 4,944,480,489
  5. Step 5: Solve for x
    x = 4,944,480,489/31,238.25
  6. Step 6: Final answer
    x = 158,282.89

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.