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Finding the Third Proportional to 180,157.50 and 417,015

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Solution

The third proportional to 180,157.50 and 417,015 is: 965,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,157.50 : 417,015 = 417,015 : x
  2. Step 2: Convert to fraction form
    180,157.50/417,015 = 417,015/x
  3. Step 3: Cross multiply
    180,157.50x = 417,015 × 417,015
  4. Step 4: Simplify right side
    180,157.50x = 173,901,510,225
  5. Step 5: Solve for x
    x = 173,901,510,225/180,157.50
  6. Step 6: Final answer
    x = 965,274.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.