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Finding the Third Proportional to 131,031 and 201,420

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Solution

The third proportional to 131,031 and 201,420 is: 309,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,031 : 201,420 = 201,420 : x
  2. Step 2: Convert to fraction form
    131,031/201,420 = 201,420/x
  3. Step 3: Cross multiply
    131,031x = 201,420 × 201,420
  4. Step 4: Simplify right side
    131,031x = 40,570,016,400
  5. Step 5: Solve for x
    x = 40,570,016,400/131,031
  6. Step 6: Final answer
    x = 309,621.51

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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.