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Finding the Third Proportional to 512,390 and 818,551

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Solution

The third proportional to 512,390 and 818,551 is: 1,307,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,390 : 818,551 = 818,551 : x
  2. Step 2: Convert to fraction form
    512,390/818,551 = 818,551/x
  3. Step 3: Cross multiply
    512,390x = 818,551 × 818,551
  4. Step 4: Simplify right side
    512,390x = 670,025,739,601
  5. Step 5: Solve for x
    x = 670,025,739,601/512,390
  6. Step 6: Final answer
    x = 1,307,647.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.