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Finding the Third Proportional to 333,920 and 720,448

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Solution

The third proportional to 333,920 and 720,448 is: 1,554,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,920 : 720,448 = 720,448 : x
  2. Step 2: Convert to fraction form
    333,920/720,448 = 720,448/x
  3. Step 3: Cross multiply
    333,920x = 720,448 × 720,448
  4. Step 4: Simplify right side
    333,920x = 519,045,320,704
  5. Step 5: Solve for x
    x = 519,045,320,704/333,920
  6. Step 6: Final answer
    x = 1,554,400.22

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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.