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Finding the Third Proportional to 76,579 and 165,458

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Solution

The third proportional to 76,579 and 165,458 is: 357,491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,579 : 165,458 = 165,458 : x
  2. Step 2: Convert to fraction form
    76,579/165,458 = 165,458/x
  3. Step 3: Cross multiply
    76,579x = 165,458 × 165,458
  4. Step 4: Simplify right side
    76,579x = 27,376,349,764
  5. Step 5: Solve for x
    x = 27,376,349,764/76,579
  6. Step 6: Final answer
    x = 357,491.61

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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.