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Finding the Third Proportional to 181,869.75 and 428,719.50

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Solution

The third proportional to 181,869.75 and 428,719.50 is: 1,010,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,869.75 : 428,719.50 = 428,719.50 : x
  2. Step 2: Convert to fraction form
    181,869.75/428,719.50 = 428,719.50/x
  3. Step 3: Cross multiply
    181,869.75x = 428,719.50 × 428,719.50
  4. Step 4: Simplify right side
    181,869.75x = 183,800,409,680.25
  5. Step 5: Solve for x
    x = 183,800,409,680.25/181,869.75
  6. Step 6: Final answer
    x = 1,010,615.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.