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Finding the Third Proportional to 512,149.50 and 775,266.75

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Solution

The third proportional to 512,149.50 and 775,266.75 is: 1,173,560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,149.50 : 775,266.75 = 775,266.75 : x
  2. Step 2: Convert to fraction form
    512,149.50/775,266.75 = 775,266.75/x
  3. Step 3: Cross multiply
    512,149.50x = 775,266.75 × 775,266.75
  4. Step 4: Simplify right side
    512,149.50x = 601,038,533,655.56
  5. Step 5: Solve for x
    x = 601,038,533,655.56/512,149.50
  6. Step 6: Final answer
    x = 1,173,560.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.