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Finding the Third Proportional to 676,892 and 898,512

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Solution

The third proportional to 676,892 and 898,512 is: 1,192,692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,892 : 898,512 = 898,512 : x
  2. Step 2: Convert to fraction form
    676,892/898,512 = 898,512/x
  3. Step 3: Cross multiply
    676,892x = 898,512 × 898,512
  4. Step 4: Simplify right side
    676,892x = 807,323,814,144
  5. Step 5: Solve for x
    x = 807,323,814,144/676,892
  6. Step 6: Final answer
    x = 1,192,692.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.