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Finding the Third Proportional to 133,172 and 288,520

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Solution

The third proportional to 133,172 and 288,520 is: 625,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,172 : 288,520 = 288,520 : x
  2. Step 2: Convert to fraction form
    133,172/288,520 = 288,520/x
  3. Step 3: Cross multiply
    133,172x = 288,520 × 288,520
  4. Step 4: Simplify right side
    133,172x = 83,243,790,400
  5. Step 5: Solve for x
    x = 83,243,790,400/133,172
  6. Step 6: Final answer
    x = 625,084.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.