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Finding the Third Proportional to 151,200 and 322,272

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Solution

The third proportional to 151,200 and 322,272 is: 686,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,200 : 322,272 = 322,272 : x
  2. Step 2: Convert to fraction form
    151,200/322,272 = 322,272/x
  3. Step 3: Cross multiply
    151,200x = 322,272 × 322,272
  4. Step 4: Simplify right side
    151,200x = 103,859,241,984
  5. Step 5: Solve for x
    x = 103,859,241,984/151,200
  6. Step 6: Final answer
    x = 686,899.75

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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.