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Finding the Third Proportional to 131,448 and 203,972

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Solution

The third proportional to 131,448 and 203,972 is: 316,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,448 : 203,972 = 203,972 : x
  2. Step 2: Convert to fraction form
    131,448/203,972 = 203,972/x
  3. Step 3: Cross multiply
    131,448x = 203,972 × 203,972
  4. Step 4: Simplify right side
    131,448x = 41,604,576,784
  5. Step 5: Solve for x
    x = 41,604,576,784/131,448
  6. Step 6: Final answer
    x = 316,509.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.