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Finding the Third Proportional to 74,646 and 109,764

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Solution

The third proportional to 74,646 and 109,764 is: 161,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,646 : 109,764 = 109,764 : x
  2. Step 2: Convert to fraction form
    74,646/109,764 = 109,764/x
  3. Step 3: Cross multiply
    74,646x = 109,764 × 109,764
  4. Step 4: Simplify right side
    74,646x = 12,048,135,696
  5. Step 5: Solve for x
    x = 12,048,135,696/74,646
  6. Step 6: Final answer
    x = 161,403.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.