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Finding the Third Proportional to 222,730 and 321,807

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Solution

The third proportional to 222,730 and 321,807 is: 464,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,730 : 321,807 = 321,807 : x
  2. Step 2: Convert to fraction form
    222,730/321,807 = 321,807/x
  3. Step 3: Cross multiply
    222,730x = 321,807 × 321,807
  4. Step 4: Simplify right side
    222,730x = 103,559,745,249
  5. Step 5: Solve for x
    x = 103,559,745,249/222,730
  6. Step 6: Final answer
    x = 464,956.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.