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Finding the Third Proportional to 306,892 and 669,544

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Solution

The third proportional to 306,892 and 669,544 is: 1,460,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,892 : 669,544 = 669,544 : x
  2. Step 2: Convert to fraction form
    306,892/669,544 = 669,544/x
  3. Step 3: Cross multiply
    306,892x = 669,544 × 669,544
  4. Step 4: Simplify right side
    306,892x = 448,289,167,936
  5. Step 5: Solve for x
    x = 448,289,167,936/306,892
  6. Step 6: Final answer
    x = 1,460,739.18

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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.