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Finding the Third Proportional to 306,832 and 669,446

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Solution

The third proportional to 306,832 and 669,446 is: 1,460,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,832 : 669,446 = 669,446 : x
  2. Step 2: Convert to fraction form
    306,832/669,446 = 669,446/x
  3. Step 3: Cross multiply
    306,832x = 669,446 × 669,446
  4. Step 4: Simplify right side
    306,832x = 448,157,946,916
  5. Step 5: Solve for x
    x = 448,157,946,916/306,832
  6. Step 6: Final answer
    x = 1,460,597.16

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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.