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Finding the Third Proportional to 320,920 and 696,272

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Solution

The third proportional to 320,920 and 696,272 is: 1,510,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,920 : 696,272 = 696,272 : x
  2. Step 2: Convert to fraction form
    320,920/696,272 = 696,272/x
  3. Step 3: Cross multiply
    320,920x = 696,272 × 696,272
  4. Step 4: Simplify right side
    320,920x = 484,794,697,984
  5. Step 5: Solve for x
    x = 484,794,697,984/320,920
  6. Step 6: Final answer
    x = 1,510,640.34

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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.