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Finding the Third Proportional to 223,117 and 490,318

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Solution

The third proportional to 223,117 and 490,318 is: 1,077,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,117 : 490,318 = 490,318 : x
  2. Step 2: Convert to fraction form
    223,117/490,318 = 490,318/x
  3. Step 3: Cross multiply
    223,117x = 490,318 × 490,318
  4. Step 4: Simplify right side
    223,117x = 240,411,741,124
  5. Step 5: Solve for x
    x = 240,411,741,124/223,117
  6. Step 6: Final answer
    x = 1,077,514.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.