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Finding the Third Proportional to 65,975 and 138,431

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Solution

The third proportional to 65,975 and 138,431 is: 290,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,975 : 138,431 = 138,431 : x
  2. Step 2: Convert to fraction form
    65,975/138,431 = 138,431/x
  3. Step 3: Cross multiply
    65,975x = 138,431 × 138,431
  4. Step 4: Simplify right side
    65,975x = 19,163,141,761
  5. Step 5: Solve for x
    x = 19,163,141,761/65,975
  6. Step 6: Final answer
    x = 290,460.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.