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Finding the Third Proportional to 321,694.03 and 686,102.91

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Solution

The third proportional to 321,694.03 and 686,102.91 is: 1,463,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,694.03 : 686,102.91 = 686,102.91 : x
  2. Step 2: Convert to fraction form
    321,694.03/686,102.91 = 686,102.91/x
  3. Step 3: Cross multiply
    321,694.03x = 686,102.91 × 686,102.91
  4. Step 4: Simplify right side
    321,694.03x = 470,737,197,964.70
  5. Step 5: Solve for x
    x = 470,737,197,964.70/321,694.03
  6. Step 6: Final answer
    x = 1,463,307.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.