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Finding the Third Proportional to 322,312 and 698,192

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Solution

The third proportional to 322,312 and 698,192 is: 1,512,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,312 : 698,192 = 698,192 : x
  2. Step 2: Convert to fraction form
    322,312/698,192 = 698,192/x
  3. Step 3: Cross multiply
    322,312x = 698,192 × 698,192
  4. Step 4: Simplify right side
    322,312x = 487,472,068,864
  5. Step 5: Solve for x
    x = 487,472,068,864/322,312
  6. Step 6: Final answer
    x = 1,512,422.96

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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.