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Finding the Third Proportional to 63,349 and 138,577

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Solution

The third proportional to 63,349 and 138,577 is: 303,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,349 : 138,577 = 138,577 : x
  2. Step 2: Convert to fraction form
    63,349/138,577 = 138,577/x
  3. Step 3: Cross multiply
    63,349x = 138,577 × 138,577
  4. Step 4: Simplify right side
    63,349x = 19,203,584,929
  5. Step 5: Solve for x
    x = 19,203,584,929/63,349
  6. Step 6: Final answer
    x = 303,139.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.