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Finding the Third Proportional to 38,176 and 77,430

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Solution

The third proportional to 38,176 and 77,430 is: 157,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176 : 77,430 = 77,430 : x
  2. Step 2: Convert to fraction form
    38,176/77,430 = 77,430/x
  3. Step 3: Cross multiply
    38,176x = 77,430 × 77,430
  4. Step 4: Simplify right side
    38,176x = 5,995,404,900
  5. Step 5: Solve for x
    x = 5,995,404,900/38,176
  6. Step 6: Final answer
    x = 157,046.44

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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.