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Finding the Third Proportional to 74,663 and 115,775

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Solution

The third proportional to 74,663 and 115,775 is: 179,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,663 : 115,775 = 115,775 : x
  2. Step 2: Convert to fraction form
    74,663/115,775 = 115,775/x
  3. Step 3: Cross multiply
    74,663x = 115,775 × 115,775
  4. Step 4: Simplify right side
    74,663x = 13,403,850,625
  5. Step 5: Solve for x
    x = 13,403,850,625/74,663
  6. Step 6: Final answer
    x = 179,524.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.