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Finding the Third Proportional to 75,783 and 164,670

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Solution

The third proportional to 75,783 and 164,670 is: 357,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,783 : 164,670 = 164,670 : x
  2. Step 2: Convert to fraction form
    75,783/164,670 = 164,670/x
  3. Step 3: Cross multiply
    75,783x = 164,670 × 164,670
  4. Step 4: Simplify right side
    75,783x = 27,116,208,900
  5. Step 5: Solve for x
    x = 27,116,208,900/75,783
  6. Step 6: Final answer
    x = 357,813.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.