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Finding the Third Proportional to 131,418 and 201,069

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Solution

The third proportional to 131,418 and 201,069 is: 307,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,418 : 201,069 = 201,069 : x
  2. Step 2: Convert to fraction form
    131,418/201,069 = 201,069/x
  3. Step 3: Cross multiply
    131,418x = 201,069 × 201,069
  4. Step 4: Simplify right side
    131,418x = 40,428,742,761
  5. Step 5: Solve for x
    x = 40,428,742,761/131,418
  6. Step 6: Final answer
    x = 307,634.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.