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Finding the Third Proportional to 321,710 and 696,374

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Solution

The third proportional to 321,710 and 696,374 is: 1,507,372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,710 : 696,374 = 696,374 : x
  2. Step 2: Convert to fraction form
    321,710/696,374 = 696,374/x
  3. Step 3: Cross multiply
    321,710x = 696,374 × 696,374
  4. Step 4: Simplify right side
    321,710x = 484,936,747,876
  5. Step 5: Solve for x
    x = 484,936,747,876/321,710
  6. Step 6: Final answer
    x = 1,507,372.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.