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Finding the Third Proportional to 321,754 and 686,228

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Solution

The third proportional to 321,754 and 686,228 is: 1,463,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,754 : 686,228 = 686,228 : x
  2. Step 2: Convert to fraction form
    321,754/686,228 = 686,228/x
  3. Step 3: Cross multiply
    321,754x = 686,228 × 686,228
  4. Step 4: Simplify right side
    321,754x = 470,908,867,984
  5. Step 5: Solve for x
    x = 470,908,867,984/321,754
  6. Step 6: Final answer
    x = 1,463,568.03

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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.