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Finding the Third Proportional to 669,864 and 909,632

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Solution

The third proportional to 669,864 and 909,632 is: 1,235,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,864 : 909,632 = 909,632 : x
  2. Step 2: Convert to fraction form
    669,864/909,632 = 909,632/x
  3. Step 3: Cross multiply
    669,864x = 909,632 × 909,632
  4. Step 4: Simplify right side
    669,864x = 827,430,375,424
  5. Step 5: Solve for x
    x = 827,430,375,424/669,864
  6. Step 6: Final answer
    x = 1,235,221.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.