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Finding the Third Proportional to 77,353 and 159,523

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Solution

The third proportional to 77,353 and 159,523 is: 328,979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,353 : 159,523 = 159,523 : x
  2. Step 2: Convert to fraction form
    77,353/159,523 = 159,523/x
  3. Step 3: Cross multiply
    77,353x = 159,523 × 159,523
  4. Step 4: Simplify right side
    77,353x = 25,447,587,529
  5. Step 5: Solve for x
    x = 25,447,587,529/77,353
  6. Step 6: Final answer
    x = 328,979.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.