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Finding the Third Proportional to 298,797 and 645,132

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Solution

The third proportional to 298,797 and 645,132 is: 1,392,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,797 : 645,132 = 645,132 : x
  2. Step 2: Convert to fraction form
    298,797/645,132 = 645,132/x
  3. Step 3: Cross multiply
    298,797x = 645,132 × 645,132
  4. Step 4: Simplify right side
    298,797x = 416,195,297,424
  5. Step 5: Solve for x
    x = 416,195,297,424/298,797
  6. Step 6: Final answer
    x = 1,392,903.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.