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Finding the Third Proportional to 320,720 and 688,825

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Solution

The third proportional to 320,720 and 688,825 is: 1,479,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,720 : 688,825 = 688,825 : x
  2. Step 2: Convert to fraction form
    320,720/688,825 = 688,825/x
  3. Step 3: Cross multiply
    320,720x = 688,825 × 688,825
  4. Step 4: Simplify right side
    320,720x = 474,479,880,625
  5. Step 5: Solve for x
    x = 474,479,880,625/320,720
  6. Step 6: Final answer
    x = 1,479,420.93

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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.