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Finding the Third Proportional to 78,378 and 171,480

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Solution

The third proportional to 78,378 and 171,480 is: 375,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378 : 171,480 = 171,480 : x
  2. Step 2: Convert to fraction form
    78,378/171,480 = 171,480/x
  3. Step 3: Cross multiply
    78,378x = 171,480 × 171,480
  4. Step 4: Simplify right side
    78,378x = 29,405,390,400
  5. Step 5: Solve for x
    x = 29,405,390,400/78,378
  6. Step 6: Final answer
    x = 375,174.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.