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Finding the Third Proportional to 64,397 and 143,860

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Solution

The third proportional to 64,397 and 143,860 is: 321,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,397 : 143,860 = 143,860 : x
  2. Step 2: Convert to fraction form
    64,397/143,860 = 143,860/x
  3. Step 3: Cross multiply
    64,397x = 143,860 × 143,860
  4. Step 4: Simplify right side
    64,397x = 20,695,699,600
  5. Step 5: Solve for x
    x = 20,695,699,600/64,397
  6. Step 6: Final answer
    x = 321,376.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.