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Finding the Third Proportional to 78,360 and 166,032

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Solution

The third proportional to 78,360 and 166,032 is: 351,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,360 : 166,032 = 166,032 : x
  2. Step 2: Convert to fraction form
    78,360/166,032 = 166,032/x
  3. Step 3: Cross multiply
    78,360x = 166,032 × 166,032
  4. Step 4: Simplify right side
    78,360x = 27,566,625,024
  5. Step 5: Solve for x
    x = 27,566,625,024/78,360
  6. Step 6: Final answer
    x = 351,794.60

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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.