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Finding the Third Proportional to 137,686 and 291,888

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Solution

The third proportional to 137,686 and 291,888 is: 618,789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,686 : 291,888 = 291,888 : x
  2. Step 2: Convert to fraction form
    137,686/291,888 = 291,888/x
  3. Step 3: Cross multiply
    137,686x = 291,888 × 291,888
  4. Step 4: Simplify right side
    137,686x = 85,198,604,544
  5. Step 5: Solve for x
    x = 85,198,604,544/137,686
  6. Step 6: Final answer
    x = 618,789.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.