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Finding the Third Proportional to 481,380 and 720,336

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Solution

The third proportional to 481,380 and 720,336 is: 1,077,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,380 : 720,336 = 720,336 : x
  2. Step 2: Convert to fraction form
    481,380/720,336 = 720,336/x
  3. Step 3: Cross multiply
    481,380x = 720,336 × 720,336
  4. Step 4: Simplify right side
    481,380x = 518,883,952,896
  5. Step 5: Solve for x
    x = 518,883,952,896/481,380
  6. Step 6: Final answer
    x = 1,077,909.25

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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.