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Finding the Third Proportional to 38,174 and 77,426

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Solution

The third proportional to 38,174 and 77,426 is: 157,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174 : 77,426 = 77,426 : x
  2. Step 2: Convert to fraction form
    38,174/77,426 = 77,426/x
  3. Step 3: Cross multiply
    38,174x = 77,426 × 77,426
  4. Step 4: Simplify right side
    38,174x = 5,994,785,476
  5. Step 5: Solve for x
    x = 5,994,785,476/38,174
  6. Step 6: Final answer
    x = 157,038.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.