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Finding the Third Proportional to 321,548 and 698,436

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Solution

The third proportional to 321,548 and 698,436 is: 1,517,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,548 : 698,436 = 698,436 : x
  2. Step 2: Convert to fraction form
    321,548/698,436 = 698,436/x
  3. Step 3: Cross multiply
    321,548x = 698,436 × 698,436
  4. Step 4: Simplify right side
    321,548x = 487,812,846,096
  5. Step 5: Solve for x
    x = 487,812,846,096/321,548
  6. Step 6: Final answer
    x = 1,517,076.29

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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.