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Finding the Third Proportional to 65,976 and 138,433

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Solution

The third proportional to 65,976 and 138,433 is: 290,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,976 : 138,433 = 138,433 : x
  2. Step 2: Convert to fraction form
    65,976/138,433 = 138,433/x
  3. Step 3: Cross multiply
    65,976x = 138,433 × 138,433
  4. Step 4: Simplify right side
    65,976x = 19,163,695,489
  5. Step 5: Solve for x
    x = 19,163,695,489/65,976
  6. Step 6: Final answer
    x = 290,464.65

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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.