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Finding the Third Proportional to 312,896 and 672,950

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Solution

The third proportional to 312,896 and 672,950 is: 1,447,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,896 : 672,950 = 672,950 : x
  2. Step 2: Convert to fraction form
    312,896/672,950 = 672,950/x
  3. Step 3: Cross multiply
    312,896x = 672,950 × 672,950
  4. Step 4: Simplify right side
    312,896x = 452,861,702,500
  5. Step 5: Solve for x
    x = 452,861,702,500/312,896
  6. Step 6: Final answer
    x = 1,447,323.40

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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.