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Finding the Third Proportional to 496,190 and 742,302

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Solution

The third proportional to 496,190 and 742,302 is: 1,110,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,190 : 742,302 = 742,302 : x
  2. Step 2: Convert to fraction form
    496,190/742,302 = 742,302/x
  3. Step 3: Cross multiply
    496,190x = 742,302 × 742,302
  4. Step 4: Simplify right side
    496,190x = 551,012,259,204
  5. Step 5: Solve for x
    x = 551,012,259,204/496,190
  6. Step 6: Final answer
    x = 1,110,486.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.