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Finding the Third Proportional to 64,703 and 140,797

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Solution

The third proportional to 64,703 and 140,797 is: 306,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,703 : 140,797 = 140,797 : x
  2. Step 2: Convert to fraction form
    64,703/140,797 = 140,797/x
  3. Step 3: Cross multiply
    64,703x = 140,797 × 140,797
  4. Step 4: Simplify right side
    64,703x = 19,823,795,209
  5. Step 5: Solve for x
    x = 19,823,795,209/64,703
  6. Step 6: Final answer
    x = 306,381.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.