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Finding the Third Proportional to 129,624 and 199,968

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Solution

The third proportional to 129,624 and 199,968 is: 308,486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,624 : 199,968 = 199,968 : x
  2. Step 2: Convert to fraction form
    129,624/199,968 = 199,968/x
  3. Step 3: Cross multiply
    129,624x = 199,968 × 199,968
  4. Step 4: Simplify right side
    129,624x = 39,987,201,024
  5. Step 5: Solve for x
    x = 39,987,201,024/129,624
  6. Step 6: Final answer
    x = 308,486.09

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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.