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Finding the Third Proportional to 129,582 and 199,895

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Solution

The third proportional to 129,582 and 199,895 is: 308,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,582 : 199,895 = 199,895 : x
  2. Step 2: Convert to fraction form
    129,582/199,895 = 199,895/x
  3. Step 3: Cross multiply
    129,582x = 199,895 × 199,895
  4. Step 4: Simplify right side
    129,582x = 39,958,011,025
  5. Step 5: Solve for x
    x = 39,958,011,025/129,582
  6. Step 6: Final answer
    x = 308,360.81

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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.