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Finding the Third Proportional to 133,046 and 283,341

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Solution

The third proportional to 133,046 and 283,341 is: 603,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046 : 283,341 = 283,341 : x
  2. Step 2: Convert to fraction form
    133,046/283,341 = 283,341/x
  3. Step 3: Cross multiply
    133,046x = 283,341 × 283,341
  4. Step 4: Simplify right side
    133,046x = 80,282,122,281
  5. Step 5: Solve for x
    x = 80,282,122,281/133,046
  6. Step 6: Final answer
    x = 603,416.28

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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.