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Finding the Third Proportional to 312,901 and 672,961

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Solution

The third proportional to 312,901 and 672,961 is: 1,447,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,901 : 672,961 = 672,961 : x
  2. Step 2: Convert to fraction form
    312,901/672,961 = 672,961/x
  3. Step 3: Cross multiply
    312,901x = 672,961 × 672,961
  4. Step 4: Simplify right side
    312,901x = 452,876,507,521
  5. Step 5: Solve for x
    x = 452,876,507,521/312,901
  6. Step 6: Final answer
    x = 1,447,347.59

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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.