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Finding the Third Proportional to 136,636 and 288,125

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Solution

The third proportional to 136,636 and 288,125 is: 607,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,636 : 288,125 = 288,125 : x
  2. Step 2: Convert to fraction form
    136,636/288,125 = 288,125/x
  3. Step 3: Cross multiply
    136,636x = 288,125 × 288,125
  4. Step 4: Simplify right side
    136,636x = 83,016,015,625
  5. Step 5: Solve for x
    x = 83,016,015,625/136,636
  6. Step 6: Final answer
    x = 607,570.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.