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Finding the Third Proportional to 74,659 and 113,174

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Solution

The third proportional to 74,659 and 113,174 is: 171,558.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,659 : 113,174 = 113,174 : x
  2. Step 2: Convert to fraction form
    74,659/113,174 = 113,174/x
  3. Step 3: Cross multiply
    74,659x = 113,174 × 113,174
  4. Step 4: Simplify right side
    74,659x = 12,808,354,276
  5. Step 5: Solve for x
    x = 12,808,354,276/74,659
  6. Step 6: Final answer
    x = 171,558.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.