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Finding the Third Proportional to 312,060.19 and 672,188.81

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Solution

The third proportional to 312,060.19 and 672,188.81 is: 1,447,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,060.19 : 672,188.81 = 672,188.81 : x
  2. Step 2: Convert to fraction form
    312,060.19/672,188.81 = 672,188.81/x
  3. Step 3: Cross multiply
    312,060.19x = 672,188.81 × 672,188.81
  4. Step 4: Simplify right side
    312,060.19x = 451,837,799,650.16
  5. Step 5: Solve for x
    x = 451,837,799,650.16/312,060.19
  6. Step 6: Final answer
    x = 1,447,918.76

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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.