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Finding the Third Proportional to 133,196 and 283,343

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Solution

The third proportional to 133,196 and 283,343 is: 602,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,196 : 283,343 = 283,343 : x
  2. Step 2: Convert to fraction form
    133,196/283,343 = 283,343/x
  3. Step 3: Cross multiply
    133,196x = 283,343 × 283,343
  4. Step 4: Simplify right side
    133,196x = 80,283,255,649
  5. Step 5: Solve for x
    x = 80,283,255,649/133,196
  6. Step 6: Final answer
    x = 602,745.24

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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.