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Finding the Third Proportional to 299,126.36 and 430,004.64

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Solution

The third proportional to 299,126.36 and 430,004.64 is: 618,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,126.36 : 430,004.64 = 430,004.64 : x
  2. Step 2: Convert to fraction form
    299,126.36/430,004.64 = 430,004.64/x
  3. Step 3: Cross multiply
    299,126.36x = 430,004.64 × 430,004.64
  4. Step 4: Simplify right side
    299,126.36x = 184,903,987,599.62
  5. Step 5: Solve for x
    x = 184,903,987,599.62/299,126.36
  6. Step 6: Final answer
    x = 618,146.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.