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Finding the Third Proportional to 75,289 and 163,699

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Solution

The third proportional to 75,289 and 163,699 is: 355,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,289 : 163,699 = 163,699 : x
  2. Step 2: Convert to fraction form
    75,289/163,699 = 163,699/x
  3. Step 3: Cross multiply
    75,289x = 163,699 × 163,699
  4. Step 4: Simplify right side
    75,289x = 26,797,362,601
  5. Step 5: Solve for x
    x = 26,797,362,601/75,289
  6. Step 6: Final answer
    x = 355,926.66

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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.