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Finding the Third Proportional to 150,946 and 222,044

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Solution

The third proportional to 150,946 and 222,044 is: 326,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,946 : 222,044 = 222,044 : x
  2. Step 2: Convert to fraction form
    150,946/222,044 = 222,044/x
  3. Step 3: Cross multiply
    150,946x = 222,044 × 222,044
  4. Step 4: Simplify right side
    150,946x = 49,303,537,936
  5. Step 5: Solve for x
    x = 49,303,537,936/150,946
  6. Step 6: Final answer
    x = 326,630.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.