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Finding the Third Proportional to 64,335 and 131,790

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Solution

The third proportional to 64,335 and 131,790 is: 269,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,335 : 131,790 = 131,790 : x
  2. Step 2: Convert to fraction form
    64,335/131,790 = 131,790/x
  3. Step 3: Cross multiply
    64,335x = 131,790 × 131,790
  4. Step 4: Simplify right side
    64,335x = 17,368,604,100
  5. Step 5: Solve for x
    x = 17,368,604,100/64,335
  6. Step 6: Final answer
    x = 269,971.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.