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Finding the Third Proportional to 321,576 and 698,488

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Solution

The third proportional to 321,576 and 698,488 is: 1,517,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,576 : 698,488 = 698,488 : x
  2. Step 2: Convert to fraction form
    321,576/698,488 = 698,488/x
  3. Step 3: Cross multiply
    321,576x = 698,488 × 698,488
  4. Step 4: Simplify right side
    321,576x = 487,885,486,144
  5. Step 5: Solve for x
    x = 487,885,486,144/321,576
  6. Step 6: Final answer
    x = 1,517,170.08

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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.