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Finding the Third Proportional to 129,621 and 199,959

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Solution

The third proportional to 129,621 and 199,959 is: 308,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,621 : 199,959 = 199,959 : x
  2. Step 2: Convert to fraction form
    129,621/199,959 = 199,959/x
  3. Step 3: Cross multiply
    129,621x = 199,959 × 199,959
  4. Step 4: Simplify right side
    129,621x = 39,983,601,681
  5. Step 5: Solve for x
    x = 39,983,601,681/129,621
  6. Step 6: Final answer
    x = 308,465.46

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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.