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Finding the Third Proportional to 77,970 and 166,578

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Solution

The third proportional to 77,970 and 166,578 is: 355,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,970 : 166,578 = 166,578 : x
  2. Step 2: Convert to fraction form
    77,970/166,578 = 166,578/x
  3. Step 3: Cross multiply
    77,970x = 166,578 × 166,578
  4. Step 4: Simplify right side
    77,970x = 27,748,230,084
  5. Step 5: Solve for x
    x = 27,748,230,084/77,970
  6. Step 6: Final answer
    x = 355,883.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.