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Finding the Third Proportional to 321,515 and 698,379

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Solution

The third proportional to 321,515 and 698,379 is: 1,516,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,515 : 698,379 = 698,379 : x
  2. Step 2: Convert to fraction form
    321,515/698,379 = 698,379/x
  3. Step 3: Cross multiply
    321,515x = 698,379 × 698,379
  4. Step 4: Simplify right side
    321,515x = 487,733,227,641
  5. Step 5: Solve for x
    x = 487,733,227,641/321,515
  6. Step 6: Final answer
    x = 1,516,984.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.