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Finding the Third Proportional to 133,102 and 288,661

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Solution

The third proportional to 133,102 and 288,661 is: 626,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,102 : 288,661 = 288,661 : x
  2. Step 2: Convert to fraction form
    133,102/288,661 = 288,661/x
  3. Step 3: Cross multiply
    133,102x = 288,661 × 288,661
  4. Step 4: Simplify right side
    133,102x = 83,325,172,921
  5. Step 5: Solve for x
    x = 83,325,172,921/133,102
  6. Step 6: Final answer
    x = 626,024.95

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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.