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Finding the Third Proportional to 165,812 and 355,282

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Solution

The third proportional to 165,812 and 355,282 is: 761,255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,812 : 355,282 = 355,282 : x
  2. Step 2: Convert to fraction form
    165,812/355,282 = 355,282/x
  3. Step 3: Cross multiply
    165,812x = 355,282 × 355,282
  4. Step 4: Simplify right side
    165,812x = 126,225,299,524
  5. Step 5: Solve for x
    x = 126,225,299,524/165,812
  6. Step 6: Final answer
    x = 761,255.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.