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Finding the Third Proportional to 228,437 and 490,894

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Solution

The third proportional to 228,437 and 490,894 is: 1,054,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,437 : 490,894 = 490,894 : x
  2. Step 2: Convert to fraction form
    228,437/490,894 = 490,894/x
  3. Step 3: Cross multiply
    228,437x = 490,894 × 490,894
  4. Step 4: Simplify right side
    228,437x = 240,976,919,236
  5. Step 5: Solve for x
    x = 240,976,919,236/228,437
  6. Step 6: Final answer
    x = 1,054,894.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.