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Finding the Third Proportional to 203,868 and 314,892

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Solution

The third proportional to 203,868 and 314,892 is: 486,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,868 : 314,892 = 314,892 : x
  2. Step 2: Convert to fraction form
    203,868/314,892 = 314,892/x
  3. Step 3: Cross multiply
    203,868x = 314,892 × 314,892
  4. Step 4: Simplify right side
    203,868x = 99,156,971,664
  5. Step 5: Solve for x
    x = 99,156,971,664/203,868
  6. Step 6: Final answer
    x = 486,378.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.