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Finding the Third Proportional to 165,503 and 357,247

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Solution

The third proportional to 165,503 and 357,247 is: 771,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,503 : 357,247 = 357,247 : x
  2. Step 2: Convert to fraction form
    165,503/357,247 = 357,247/x
  3. Step 3: Cross multiply
    165,503x = 357,247 × 357,247
  4. Step 4: Simplify right side
    165,503x = 127,625,419,009
  5. Step 5: Solve for x
    x = 127,625,419,009/165,503
  6. Step 6: Final answer
    x = 771,136.59

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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.