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Finding the Third Proportional to 165,507 and 357,249

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Solution

The third proportional to 165,507 and 357,249 is: 771,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,507 : 357,249 = 357,249 : x
  2. Step 2: Convert to fraction form
    165,507/357,249 = 357,249/x
  3. Step 3: Cross multiply
    165,507x = 357,249 × 357,249
  4. Step 4: Simplify right side
    165,507x = 127,626,848,001
  5. Step 5: Solve for x
    x = 127,626,848,001/165,507
  6. Step 6: Final answer
    x = 771,126.59

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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.