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Finding the Third Proportional to 669,868 and 909,638

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Solution

The third proportional to 669,868 and 909,638 is: 1,235,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,868 : 909,638 = 909,638 : x
  2. Step 2: Convert to fraction form
    669,868/909,638 = 909,638/x
  3. Step 3: Cross multiply
    669,868x = 909,638 × 909,638
  4. Step 4: Simplify right side
    669,868x = 827,441,291,044
  5. Step 5: Solve for x
    x = 827,441,291,044/669,868
  6. Step 6: Final answer
    x = 1,235,230.36

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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.