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Finding the Third Proportional to 165,509 and 357,253

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Solution

The third proportional to 165,509 and 357,253 is: 771,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,509 : 357,253 = 357,253 : x
  2. Step 2: Convert to fraction form
    165,509/357,253 = 357,253/x
  3. Step 3: Cross multiply
    165,509x = 357,253 × 357,253
  4. Step 4: Simplify right side
    165,509x = 127,629,706,009
  5. Step 5: Solve for x
    x = 127,629,706,009/165,509
  6. Step 6: Final answer
    x = 771,134.54

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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.