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Finding the Third Proportional to 222,924 and 480,678

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Solution

The third proportional to 222,924 and 480,678 is: 1,036,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,924 : 480,678 = 480,678 : x
  2. Step 2: Convert to fraction form
    222,924/480,678 = 480,678/x
  3. Step 3: Cross multiply
    222,924x = 480,678 × 480,678
  4. Step 4: Simplify right side
    222,924x = 231,051,339,684
  5. Step 5: Solve for x
    x = 231,051,339,684/222,924
  6. Step 6: Final answer
    x = 1,036,457.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.