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Finding the Third Proportional to 603,670 and 816,930

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Solution

The third proportional to 603,670 and 816,930 is: 1,105,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,670 : 816,930 = 816,930 : x
  2. Step 2: Convert to fraction form
    603,670/816,930 = 816,930/x
  3. Step 3: Cross multiply
    603,670x = 816,930 × 816,930
  4. Step 4: Simplify right side
    603,670x = 667,374,624,900
  5. Step 5: Solve for x
    x = 667,374,624,900/603,670
  6. Step 6: Final answer
    x = 1,105,528.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.