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Finding the Third Proportional to 193,509 and 455,308

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Solution

The third proportional to 193,509 and 455,308 is: 1,071,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,509 : 455,308 = 455,308 : x
  2. Step 2: Convert to fraction form
    193,509/455,308 = 455,308/x
  3. Step 3: Cross multiply
    193,509x = 455,308 × 455,308
  4. Step 4: Simplify right side
    193,509x = 207,305,374,864
  5. Step 5: Solve for x
    x = 207,305,374,864/193,509
  6. Step 6: Final answer
    x = 1,071,295.78

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.