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Finding the Third Proportional to 165,807 and 355,251

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Solution

The third proportional to 165,807 and 355,251 is: 761,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,807 : 355,251 = 355,251 : x
  2. Step 2: Convert to fraction form
    165,807/355,251 = 355,251/x
  3. Step 3: Cross multiply
    165,807x = 355,251 × 355,251
  4. Step 4: Simplify right side
    165,807x = 126,203,273,001
  5. Step 5: Solve for x
    x = 126,203,273,001/165,807
  6. Step 6: Final answer
    x = 761,145.63

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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.