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Finding the Third Proportional to 324,213 and 698,364

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Solution

The third proportional to 324,213 and 698,364 is: 1,504,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,213 : 698,364 = 698,364 : x
  2. Step 2: Convert to fraction form
    324,213/698,364 = 698,364/x
  3. Step 3: Cross multiply
    324,213x = 698,364 × 698,364
  4. Step 4: Simplify right side
    324,213x = 487,712,276,496
  5. Step 5: Solve for x
    x = 487,712,276,496/324,213
  6. Step 6: Final answer
    x = 1,504,295.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.