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Finding the Third Proportional to 195,840 and 403,272

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Solution

The third proportional to 195,840 and 403,272 is: 830,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,840 : 403,272 = 403,272 : x
  2. Step 2: Convert to fraction form
    195,840/403,272 = 403,272/x
  3. Step 3: Cross multiply
    195,840x = 403,272 × 403,272
  4. Step 4: Simplify right side
    195,840x = 162,628,305,984
  5. Step 5: Solve for x
    x = 162,628,305,984/195,840
  6. Step 6: Final answer
    x = 830,414.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.