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Finding the Third Proportional to 315,696 and 693,600

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Solution

The third proportional to 315,696 and 693,600 is: 1,523,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,696 : 693,600 = 693,600 : x
  2. Step 2: Convert to fraction form
    315,696/693,600 = 693,600/x
  3. Step 3: Cross multiply
    315,696x = 693,600 × 693,600
  4. Step 4: Simplify right side
    315,696x = 481,080,960,000
  5. Step 5: Solve for x
    x = 481,080,960,000/315,696
  6. Step 6: Final answer
    x = 1,523,874.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.