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Finding the Third Proportional to 64,958 and 140,278

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Solution

The third proportional to 64,958 and 140,278 is: 302,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,958 : 140,278 = 140,278 : x
  2. Step 2: Convert to fraction form
    64,958/140,278 = 140,278/x
  3. Step 3: Cross multiply
    64,958x = 140,278 × 140,278
  4. Step 4: Simplify right side
    64,958x = 19,677,917,284
  5. Step 5: Solve for x
    x = 19,677,917,284/64,958
  6. Step 6: Final answer
    x = 302,932.93

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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.