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Finding the Third Proportional to 291,564.75 and 435,096.75

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Solution

The third proportional to 291,564.75 and 435,096.75 is: 649,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,564.75 : 435,096.75 = 435,096.75 : x
  2. Step 2: Convert to fraction form
    291,564.75/435,096.75 = 435,096.75/x
  3. Step 3: Cross multiply
    291,564.75x = 435,096.75 × 435,096.75
  4. Step 4: Simplify right side
    291,564.75x = 189,309,181,860.56
  5. Step 5: Solve for x
    x = 189,309,181,860.56/291,564.75
  6. Step 6: Final answer
    x = 649,286.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.