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Finding the Third Proportional to 289,496.81 and 637,890.75

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Solution

The third proportional to 289,496.81 and 637,890.75 is: 1,405,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,496.81 : 637,890.75 = 637,890.75 : x
  2. Step 2: Convert to fraction form
    289,496.81/637,890.75 = 637,890.75/x
  3. Step 3: Cross multiply
    289,496.81x = 637,890.75 × 637,890.75
  4. Step 4: Simplify right side
    289,496.81x = 406,904,608,935.56
  5. Step 5: Solve for x
    x = 406,904,608,935.56/289,496.81
  6. Step 6: Final answer
    x = 1,405,558.17

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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.