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Finding the Third Proportional to 136,686 and 295,830

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Solution

The third proportional to 136,686 and 295,830 is: 640,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,686 : 295,830 = 295,830 : x
  2. Step 2: Convert to fraction form
    136,686/295,830 = 295,830/x
  3. Step 3: Cross multiply
    136,686x = 295,830 × 295,830
  4. Step 4: Simplify right side
    136,686x = 87,515,388,900
  5. Step 5: Solve for x
    x = 87,515,388,900/136,686
  6. Step 6: Final answer
    x = 640,265.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.