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Finding the Third Proportional to 165,346 and 255,557

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Solution

The third proportional to 165,346 and 255,557 is: 394,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,346 : 255,557 = 255,557 : x
  2. Step 2: Convert to fraction form
    165,346/255,557 = 255,557/x
  3. Step 3: Cross multiply
    165,346x = 255,557 × 255,557
  4. Step 4: Simplify right side
    165,346x = 65,309,380,249
  5. Step 5: Solve for x
    x = 65,309,380,249/165,346
  6. Step 6: Final answer
    x = 394,986.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.