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Finding the Third Proportional to 309,936 and 478,920

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Solution

The third proportional to 309,936 and 478,920 is: 740,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,936 : 478,920 = 478,920 : x
  2. Step 2: Convert to fraction form
    309,936/478,920 = 478,920/x
  3. Step 3: Cross multiply
    309,936x = 478,920 × 478,920
  4. Step 4: Simplify right side
    309,936x = 229,364,366,400
  5. Step 5: Solve for x
    x = 229,364,366,400/309,936
  6. Step 6: Final answer
    x = 740,037.83

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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.