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Finding the Third Proportional to 309,612 and 478,512

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Solution

The third proportional to 309,612 and 478,512 is: 739,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,612 : 478,512 = 478,512 : x
  2. Step 2: Convert to fraction form
    309,612/478,512 = 478,512/x
  3. Step 3: Cross multiply
    309,612x = 478,512 × 478,512
  4. Step 4: Simplify right side
    309,612x = 228,973,734,144
  5. Step 5: Solve for x
    x = 228,973,734,144/309,612
  6. Step 6: Final answer
    x = 739,550.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.