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Finding the Third Proportional to 228,363 and 490,745

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Solution

The third proportional to 228,363 and 490,745 is: 1,054,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,363 : 490,745 = 490,745 : x
  2. Step 2: Convert to fraction form
    228,363/490,745 = 490,745/x
  3. Step 3: Cross multiply
    228,363x = 490,745 × 490,745
  4. Step 4: Simplify right side
    228,363x = 240,830,655,025
  5. Step 5: Solve for x
    x = 240,830,655,025/228,363
  6. Step 6: Final answer
    x = 1,054,595.78

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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.