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Finding the Third Proportional to 512,245 and 751,772

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Solution

The third proportional to 512,245 and 751,772 is: 1,103,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,245 : 751,772 = 751,772 : x
  2. Step 2: Convert to fraction form
    512,245/751,772 = 751,772/x
  3. Step 3: Cross multiply
    512,245x = 751,772 × 751,772
  4. Step 4: Simplify right side
    512,245x = 565,161,139,984
  5. Step 5: Solve for x
    x = 565,161,139,984/512,245
  6. Step 6: Final answer
    x = 1,103,302.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.