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Finding the Third Proportional to 166,989 and 342,157.50

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Solution

The third proportional to 166,989 and 342,157.50 is: 701,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,989 : 342,157.50 = 342,157.50 : x
  2. Step 2: Convert to fraction form
    166,989/342,157.50 = 342,157.50/x
  3. Step 3: Cross multiply
    166,989x = 342,157.50 × 342,157.50
  4. Step 4: Simplify right side
    166,989x = 117,071,754,806.25
  5. Step 5: Solve for x
    x = 117,071,754,806.25/166,989
  6. Step 6: Final answer
    x = 701,074.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.