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Finding the Third Proportional to 301,018 and 653,930

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Solution

The third proportional to 301,018 and 653,930 is: 1,420,594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,018 : 653,930 = 653,930 : x
  2. Step 2: Convert to fraction form
    301,018/653,930 = 653,930/x
  3. Step 3: Cross multiply
    301,018x = 653,930 × 653,930
  4. Step 4: Simplify right side
    301,018x = 427,624,444,900
  5. Step 5: Solve for x
    x = 427,624,444,900/301,018
  6. Step 6: Final answer
    x = 1,420,594.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.