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Finding the Third Proportional to 38,174 and 78,946

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Solution

The third proportional to 38,174 and 78,946 is: 163,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174 : 78,946 = 78,946 : x
  2. Step 2: Convert to fraction form
    38,174/78,946 = 78,946/x
  3. Step 3: Cross multiply
    38,174x = 78,946 × 78,946
  4. Step 4: Simplify right side
    38,174x = 6,232,470,916
  5. Step 5: Solve for x
    x = 6,232,470,916/38,174
  6. Step 6: Final answer
    x = 163,264.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.