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Finding the Third Proportional to 570,912 and 1,229,520

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Solution

The third proportional to 570,912 and 1,229,520 is: 2,647,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,912 : 1,229,520 = 1,229,520 : x
  2. Step 2: Convert to fraction form
    570,912/1,229,520 = 1,229,520/x
  3. Step 3: Cross multiply
    570,912x = 1,229,520 × 1,229,520
  4. Step 4: Simplify right side
    570,912x = 1,511,719,430,400
  5. Step 5: Solve for x
    x = 1,511,719,430,400/570,912
  6. Step 6: Final answer
    x = 2,647,902.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.