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Finding the Third Proportional to 131,086 and 201,498

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Solution

The third proportional to 131,086 and 201,498 is: 309,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,086 : 201,498 = 201,498 : x
  2. Step 2: Convert to fraction form
    131,086/201,498 = 201,498/x
  3. Step 3: Cross multiply
    131,086x = 201,498 × 201,498
  4. Step 4: Simplify right side
    131,086x = 40,601,444,004
  5. Step 5: Solve for x
    x = 40,601,444,004/131,086
  6. Step 6: Final answer
    x = 309,731.35

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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.