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Finding the Third Proportional to 289,494 and 637,886

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Solution

The third proportional to 289,494 and 637,886 is: 1,405,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,494 : 637,886 = 637,886 : x
  2. Step 2: Convert to fraction form
    289,494/637,886 = 637,886/x
  3. Step 3: Cross multiply
    289,494x = 637,886 × 637,886
  4. Step 4: Simplify right side
    289,494x = 406,898,548,996
  5. Step 5: Solve for x
    x = 406,898,548,996/289,494
  6. Step 6: Final answer
    x = 1,405,550.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.