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Finding the Third Proportional to 64,686 and 138,820

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Solution

The third proportional to 64,686 and 138,820 is: 297,915.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,686 : 138,820 = 138,820 : x
  2. Step 2: Convert to fraction form
    64,686/138,820 = 138,820/x
  3. Step 3: Cross multiply
    64,686x = 138,820 × 138,820
  4. Step 4: Simplify right side
    64,686x = 19,270,992,400
  5. Step 5: Solve for x
    x = 19,270,992,400/64,686
  6. Step 6: Final answer
    x = 297,915.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.