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Finding the Third Proportional to 354,912 and 536,064

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Solution

The third proportional to 354,912 and 536,064 is: 809,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,912 : 536,064 = 536,064 : x
  2. Step 2: Convert to fraction form
    354,912/536,064 = 536,064/x
  3. Step 3: Cross multiply
    354,912x = 536,064 × 536,064
  4. Step 4: Simplify right side
    354,912x = 287,364,612,096
  5. Step 5: Solve for x
    x = 287,364,612,096/354,912
  6. Step 6: Final answer
    x = 809,678.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.