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Finding the Third Proportional to 312,162.75 and 672,917.63

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Solution

The third proportional to 312,162.75 and 672,917.63 is: 1,450,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,162.75 : 672,917.63 = 672,917.63 : x
  2. Step 2: Convert to fraction form
    312,162.75/672,917.63 = 672,917.63/x
  3. Step 3: Cross multiply
    312,162.75x = 672,917.63 × 672,917.63
  4. Step 4: Simplify right side
    312,162.75x = 452,818,130,035.64
  5. Step 5: Solve for x
    x = 452,818,130,035.64/312,162.75
  6. Step 6: Final answer
    x = 1,450,583.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.