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Finding the Third Proportional to 318,816 and 478,980

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Solution

The third proportional to 318,816 and 478,980 is: 719,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,816 : 478,980 = 478,980 : x
  2. Step 2: Convert to fraction form
    318,816/478,980 = 478,980/x
  3. Step 3: Cross multiply
    318,816x = 478,980 × 478,980
  4. Step 4: Simplify right side
    318,816x = 229,421,840,400
  5. Step 5: Solve for x
    x = 229,421,840,400/318,816
  6. Step 6: Final answer
    x = 719,605.79

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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.