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Finding the Third Proportional to 669,892 and 1,305,957

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Solution

The third proportional to 669,892 and 1,305,957 is: 2,545,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,892 : 1,305,957 = 1,305,957 : x
  2. Step 2: Convert to fraction form
    669,892/1,305,957 = 1,305,957/x
  3. Step 3: Cross multiply
    669,892x = 1,305,957 × 1,305,957
  4. Step 4: Simplify right side
    669,892x = 1,705,523,685,849
  5. Step 5: Solve for x
    x = 1,705,523,685,849/669,892
  6. Step 6: Final answer
    x = 2,545,968.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.