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Finding the Third Proportional to 669,866 and 909,635

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Solution

The third proportional to 669,866 and 909,635 is: 1,235,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,866 : 909,635 = 909,635 : x
  2. Step 2: Convert to fraction form
    669,866/909,635 = 909,635/x
  3. Step 3: Cross multiply
    669,866x = 909,635 × 909,635
  4. Step 4: Simplify right side
    669,866x = 827,435,833,225
  5. Step 5: Solve for x
    x = 827,435,833,225/669,866
  6. Step 6: Final answer
    x = 1,235,225.90

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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.