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Finding the Third Proportional to 77,015 and 155,174

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Solution

The third proportional to 77,015 and 155,174 is: 312,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,015 : 155,174 = 155,174 : x
  2. Step 2: Convert to fraction form
    77,015/155,174 = 155,174/x
  3. Step 3: Cross multiply
    77,015x = 155,174 × 155,174
  4. Step 4: Simplify right side
    77,015x = 24,078,970,276
  5. Step 5: Solve for x
    x = 24,078,970,276/77,015
  6. Step 6: Final answer
    x = 312,652.99

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.