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Finding the Third Proportional to 306,884 and 669,550

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Solution

The third proportional to 306,884 and 669,550 is: 1,460,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,884 : 669,550 = 669,550 : x
  2. Step 2: Convert to fraction form
    306,884/669,550 = 669,550/x
  3. Step 3: Cross multiply
    306,884x = 669,550 × 669,550
  4. Step 4: Simplify right side
    306,884x = 448,297,202,500
  5. Step 5: Solve for x
    x = 448,297,202,500/306,884
  6. Step 6: Final answer
    x = 1,460,803.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.