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Finding the Third Proportional to 165,814 and 355,287

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Solution

The third proportional to 165,814 and 355,287 is: 761,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,814 : 355,287 = 355,287 : x
  2. Step 2: Convert to fraction form
    165,814/355,287 = 355,287/x
  3. Step 3: Cross multiply
    165,814x = 355,287 × 355,287
  4. Step 4: Simplify right side
    165,814x = 126,228,852,369
  5. Step 5: Solve for x
    x = 126,228,852,369/165,814
  6. Step 6: Final answer
    x = 761,267.76

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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.