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Finding the Third Proportional to 407,979 and 612,324

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Solution

The third proportional to 407,979 and 612,324 is: 919,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,979 : 612,324 = 612,324 : x
  2. Step 2: Convert to fraction form
    407,979/612,324 = 612,324/x
  3. Step 3: Cross multiply
    407,979x = 612,324 × 612,324
  4. Step 4: Simplify right side
    407,979x = 374,940,680,976
  5. Step 5: Solve for x
    x = 374,940,680,976/407,979
  6. Step 6: Final answer
    x = 919,019.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.