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Finding the Third Proportional to 203,072 and 468,032

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Solution

The third proportional to 203,072 and 468,032 is: 1,078,700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,072 : 468,032 = 468,032 : x
  2. Step 2: Convert to fraction form
    203,072/468,032 = 468,032/x
  3. Step 3: Cross multiply
    203,072x = 468,032 × 468,032
  4. Step 4: Simplify right side
    203,072x = 219,053,953,024
  5. Step 5: Solve for x
    x = 219,053,953,024/203,072
  6. Step 6: Final answer
    x = 1,078,700.92

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.