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Finding the Third Proportional to 151,424 and 322,272

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Solution

The third proportional to 151,424 and 322,272 is: 685,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,424 : 322,272 = 322,272 : x
  2. Step 2: Convert to fraction form
    151,424/322,272 = 322,272/x
  3. Step 3: Cross multiply
    151,424x = 322,272 × 322,272
  4. Step 4: Simplify right side
    151,424x = 103,859,241,984
  5. Step 5: Solve for x
    x = 103,859,241,984/151,424
  6. Step 6: Final answer
    x = 685,883.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.