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Finding the Third Proportional to 131,129 and 202,485

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Solution

The third proportional to 131,129 and 202,485 is: 312,670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,129 : 202,485 = 202,485 : x
  2. Step 2: Convert to fraction form
    131,129/202,485 = 202,485/x
  3. Step 3: Cross multiply
    131,129x = 202,485 × 202,485
  4. Step 4: Simplify right side
    131,129x = 41,000,175,225
  5. Step 5: Solve for x
    x = 41,000,175,225/131,129
  6. Step 6: Final answer
    x = 312,670.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.