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Finding the Third Proportional to 136,898 and 288,620

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Solution

The third proportional to 136,898 and 288,620 is: 608,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,898 : 288,620 = 288,620 : x
  2. Step 2: Convert to fraction form
    136,898/288,620 = 288,620/x
  3. Step 3: Cross multiply
    136,898x = 288,620 × 288,620
  4. Step 4: Simplify right side
    136,898x = 83,301,504,400
  5. Step 5: Solve for x
    x = 83,301,504,400/136,898
  6. Step 6: Final answer
    x = 608,493.22

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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.