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Finding the Third Proportional to 110,925 and 166,333.50

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Solution

The third proportional to 110,925 and 166,333.50 is: 249,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,925 : 166,333.50 = 166,333.50 : x
  2. Step 2: Convert to fraction form
    110,925/166,333.50 = 166,333.50/x
  3. Step 3: Cross multiply
    110,925x = 166,333.50 × 166,333.50
  4. Step 4: Simplify right side
    110,925x = 27,666,833,222.25
  5. Step 5: Solve for x
    x = 27,666,833,222.25/110,925
  6. Step 6: Final answer
    x = 249,419.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.