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Finding the Third Proportional to 418,130 and 637,027

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Solution

The third proportional to 418,130 and 637,027 is: 970,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,130 : 637,027 = 637,027 : x
  2. Step 2: Convert to fraction form
    418,130/637,027 = 637,027/x
  3. Step 3: Cross multiply
    418,130x = 637,027 × 637,027
  4. Step 4: Simplify right side
    418,130x = 405,803,398,729
  5. Step 5: Solve for x
    x = 405,803,398,729/418,130
  6. Step 6: Final answer
    x = 970,519.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.