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Finding the Third Proportional to 78,378 and 166,440

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Solution

The third proportional to 78,378 and 166,440 is: 353,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378 : 166,440 = 166,440 : x
  2. Step 2: Convert to fraction form
    78,378/166,440 = 166,440/x
  3. Step 3: Cross multiply
    78,378x = 166,440 × 166,440
  4. Step 4: Simplify right side
    78,378x = 27,702,273,600
  5. Step 5: Solve for x
    x = 27,702,273,600/78,378
  6. Step 6: Final answer
    x = 353,444.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.