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Finding the Third Proportional to 77,683.50 and 166,437

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Solution

The third proportional to 77,683.50 and 166,437 is: 356,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,683.50 : 166,437 = 166,437 : x
  2. Step 2: Convert to fraction form
    77,683.50/166,437 = 166,437/x
  3. Step 3: Cross multiply
    77,683.50x = 166,437 × 166,437
  4. Step 4: Simplify right side
    77,683.50x = 27,701,274,969
  5. Step 5: Solve for x
    x = 27,701,274,969/77,683.50
  6. Step 6: Final answer
    x = 356,591.49

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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.