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Finding the Third Proportional to 128,622 and 266,946

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Solution

The third proportional to 128,622 and 266,946 is: 554,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,622 : 266,946 = 266,946 : x
  2. Step 2: Convert to fraction form
    128,622/266,946 = 266,946/x
  3. Step 3: Cross multiply
    128,622x = 266,946 × 266,946
  4. Step 4: Simplify right side
    128,622x = 71,260,166,916
  5. Step 5: Solve for x
    x = 71,260,166,916/128,622
  6. Step 6: Final answer
    x = 554,027.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.