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Finding the Third Proportional to 302,030 and 635,138

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Solution

The third proportional to 302,030 and 635,138 is: 1,335,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,030 : 635,138 = 635,138 : x
  2. Step 2: Convert to fraction form
    302,030/635,138 = 635,138/x
  3. Step 3: Cross multiply
    302,030x = 635,138 × 635,138
  4. Step 4: Simplify right side
    302,030x = 403,400,279,044
  5. Step 5: Solve for x
    x = 403,400,279,044/302,030
  6. Step 6: Final answer
    x = 1,335,629.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.