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Finding the Third Proportional to 512,148 and 679,608

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Solution

The third proportional to 512,148 and 679,608 is: 901,823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,148 : 679,608 = 679,608 : x
  2. Step 2: Convert to fraction form
    512,148/679,608 = 679,608/x
  3. Step 3: Cross multiply
    512,148x = 679,608 × 679,608
  4. Step 4: Simplify right side
    512,148x = 461,867,033,664
  5. Step 5: Solve for x
    x = 461,867,033,664/512,148
  6. Step 6: Final answer
    x = 901,823.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.