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Finding the Third Proportional to 333,812 and 742,257

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Solution

The third proportional to 333,812 and 742,257 is: 1,650,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,812 : 742,257 = 742,257 : x
  2. Step 2: Convert to fraction form
    333,812/742,257 = 742,257/x
  3. Step 3: Cross multiply
    333,812x = 742,257 × 742,257
  4. Step 4: Simplify right side
    333,812x = 550,945,454,049
  5. Step 5: Solve for x
    x = 550,945,454,049/333,812
  6. Step 6: Final answer
    x = 1,650,466.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.