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Finding the Third Proportional to 133,091 and 288,643

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Solution

The third proportional to 133,091 and 288,643 is: 625,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,091 : 288,643 = 288,643 : x
  2. Step 2: Convert to fraction form
    133,091/288,643 = 288,643/x
  3. Step 3: Cross multiply
    133,091x = 288,643 × 288,643
  4. Step 4: Simplify right side
    133,091x = 83,314,781,449
  5. Step 5: Solve for x
    x = 83,314,781,449/133,091
  6. Step 6: Final answer
    x = 625,998.61

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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.