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Finding the Third Proportional to 363,820 and 742,436

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Solution

The third proportional to 363,820 and 742,436 is: 1,515,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,820 : 742,436 = 742,436 : x
  2. Step 2: Convert to fraction form
    363,820/742,436 = 742,436/x
  3. Step 3: Cross multiply
    363,820x = 742,436 × 742,436
  4. Step 4: Simplify right side
    363,820x = 551,211,214,096
  5. Step 5: Solve for x
    x = 551,211,214,096/363,820
  6. Step 6: Final answer
    x = 1,515,065.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.