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Finding the Third Proportional to 313,872 and 478,152

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Solution

The third proportional to 313,872 and 478,152 is: 728,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,872 : 478,152 = 478,152 : x
  2. Step 2: Convert to fraction form
    313,872/478,152 = 478,152/x
  3. Step 3: Cross multiply
    313,872x = 478,152 × 478,152
  4. Step 4: Simplify right side
    313,872x = 228,629,335,104
  5. Step 5: Solve for x
    x = 228,629,335,104/313,872
  6. Step 6: Final answer
    x = 728,415.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.