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Finding the Third Proportional to 38,169 and 77,416

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Solution

The third proportional to 38,169 and 77,416 is: 157,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,169 : 77,416 = 77,416 : x
  2. Step 2: Convert to fraction form
    38,169/77,416 = 77,416/x
  3. Step 3: Cross multiply
    38,169x = 77,416 × 77,416
  4. Step 4: Simplify right side
    38,169x = 5,993,237,056
  5. Step 5: Solve for x
    x = 5,993,237,056/38,169
  6. Step 6: Final answer
    x = 157,018.45

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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.