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Finding the Third Proportional to 131,270 and 203,658

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Solution

The third proportional to 131,270 and 203,658 is: 315,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,270 : 203,658 = 203,658 : x
  2. Step 2: Convert to fraction form
    131,270/203,658 = 203,658/x
  3. Step 3: Cross multiply
    131,270x = 203,658 × 203,658
  4. Step 4: Simplify right side
    131,270x = 41,476,580,964
  5. Step 5: Solve for x
    x = 41,476,580,964/131,270
  6. Step 6: Final answer
    x = 315,963.90

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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.