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Finding the Third Proportional to 161,816.50 and 251,245

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Solution

The third proportional to 161,816.50 and 251,245 is: 390,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,816.50 : 251,245 = 251,245 : x
  2. Step 2: Convert to fraction form
    161,816.50/251,245 = 251,245/x
  3. Step 3: Cross multiply
    161,816.50x = 251,245 × 251,245
  4. Step 4: Simplify right side
    161,816.50x = 63,124,050,025
  5. Step 5: Solve for x
    x = 63,124,050,025/161,816.50
  6. Step 6: Final answer
    x = 390,096.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.