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Finding the Third Proportional to 77,062 and 166,532

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Solution

The third proportional to 77,062 and 166,532 is: 359,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,062 : 166,532 = 166,532 : x
  2. Step 2: Convert to fraction form
    77,062/166,532 = 166,532/x
  3. Step 3: Cross multiply
    77,062x = 166,532 × 166,532
  4. Step 4: Simplify right side
    77,062x = 27,732,907,024
  5. Step 5: Solve for x
    x = 27,732,907,024/77,062
  6. Step 6: Final answer
    x = 359,877.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.