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Finding the Third Proportional to 223,132 and 490,490

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Solution

The third proportional to 223,132 and 490,490 is: 1,078,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,132 : 490,490 = 490,490 : x
  2. Step 2: Convert to fraction form
    223,132/490,490 = 490,490/x
  3. Step 3: Cross multiply
    223,132x = 490,490 × 490,490
  4. Step 4: Simplify right side
    223,132x = 240,580,440,100
  5. Step 5: Solve for x
    x = 240,580,440,100/223,132
  6. Step 6: Final answer
    x = 1,078,197.84

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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.