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Finding the Third Proportional to 333,396 and 720,102

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Solution

The third proportional to 333,396 and 720,102 is: 1,555,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,396 : 720,102 = 720,102 : x
  2. Step 2: Convert to fraction form
    333,396/720,102 = 720,102/x
  3. Step 3: Cross multiply
    333,396x = 720,102 × 720,102
  4. Step 4: Simplify right side
    333,396x = 518,546,890,404
  5. Step 5: Solve for x
    x = 518,546,890,404/333,396
  6. Step 6: Final answer
    x = 1,555,348.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.