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Finding the Third Proportional to 197,079 and 300,539

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Solution

The third proportional to 197,079 and 300,539 is: 458,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,079 : 300,539 = 300,539 : x
  2. Step 2: Convert to fraction form
    197,079/300,539 = 300,539/x
  3. Step 3: Cross multiply
    197,079x = 300,539 × 300,539
  4. Step 4: Simplify right side
    197,079x = 90,323,690,521
  5. Step 5: Solve for x
    x = 90,323,690,521/197,079
  6. Step 6: Final answer
    x = 458,312.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.