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Finding the Third Proportional to 312,900 and 672,976

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Solution

The third proportional to 312,900 and 672,976 is: 1,447,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,900 : 672,976 = 672,976 : x
  2. Step 2: Convert to fraction form
    312,900/672,976 = 672,976/x
  3. Step 3: Cross multiply
    312,900x = 672,976 × 672,976
  4. Step 4: Simplify right side
    312,900x = 452,896,696,576
  5. Step 5: Solve for x
    x = 452,896,696,576/312,900
  6. Step 6: Final answer
    x = 1,447,416.74

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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.