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Finding the Third Proportional to 289,538 and 417,698

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Solution

The third proportional to 289,538 and 417,698 is: 602,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,538 : 417,698 = 417,698 : x
  2. Step 2: Convert to fraction form
    289,538/417,698 = 417,698/x
  3. Step 3: Cross multiply
    289,538x = 417,698 × 417,698
  4. Step 4: Simplify right side
    289,538x = 174,471,619,204
  5. Step 5: Solve for x
    x = 174,471,619,204/289,538
  6. Step 6: Final answer
    x = 602,586.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.