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Finding the Third Proportional to 64,879 and 140,417

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Solution

The third proportional to 64,879 and 140,417 is: 303,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,879 : 140,417 = 140,417 : x
  2. Step 2: Convert to fraction form
    64,879/140,417 = 140,417/x
  3. Step 3: Cross multiply
    64,879x = 140,417 × 140,417
  4. Step 4: Simplify right side
    64,879x = 19,716,933,889
  5. Step 5: Solve for x
    x = 19,716,933,889/64,879
  6. Step 6: Final answer
    x = 303,903.17

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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.