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Finding the Third Proportional to 312,904 and 672,979

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Solution

The third proportional to 312,904 and 672,979 is: 1,447,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,904 : 672,979 = 672,979 : x
  2. Step 2: Convert to fraction form
    312,904/672,979 = 672,979/x
  3. Step 3: Cross multiply
    312,904x = 672,979 × 672,979
  4. Step 4: Simplify right side
    312,904x = 452,900,734,441
  5. Step 5: Solve for x
    x = 452,900,734,441/312,904
  6. Step 6: Final answer
    x = 1,447,411.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.