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Finding the Third Proportional to 64,276 and 138,950

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Solution

The third proportional to 64,276 and 138,950 is: 300,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,276 : 138,950 = 138,950 : x
  2. Step 2: Convert to fraction form
    64,276/138,950 = 138,950/x
  3. Step 3: Cross multiply
    64,276x = 138,950 × 138,950
  4. Step 4: Simplify right side
    64,276x = 19,307,102,500
  5. Step 5: Solve for x
    x = 19,307,102,500/64,276
  6. Step 6: Final answer
    x = 300,378.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.