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Finding the Third Proportional to 321,450.19 and 687,187.69

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Solution

The third proportional to 321,450.19 and 687,187.69 is: 1,469,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,450.19 : 687,187.69 = 687,187.69 : x
  2. Step 2: Convert to fraction form
    321,450.19/687,187.69 = 687,187.69/x
  3. Step 3: Cross multiply
    321,450.19x = 687,187.69 × 687,187.69
  4. Step 4: Simplify right side
    321,450.19x = 472,226,917,851.60
  5. Step 5: Solve for x
    x = 472,226,917,851.60/321,450.19
  6. Step 6: Final answer
    x = 1,469,051.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.