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Finding the Third Proportional to 321,645 and 686,039

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Solution

The third proportional to 321,645 and 686,039 is: 1,463,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,645 : 686,039 = 686,039 : x
  2. Step 2: Convert to fraction form
    321,645/686,039 = 686,039/x
  3. Step 3: Cross multiply
    321,645x = 686,039 × 686,039
  4. Step 4: Simplify right side
    321,645x = 470,649,509,521
  5. Step 5: Solve for x
    x = 470,649,509,521/321,645
  6. Step 6: Final answer
    x = 1,463,257.66

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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.