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Finding the Third Proportional to 289,496 and 637,890

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Solution

The third proportional to 289,496 and 637,890 is: 1,405,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,496 : 637,890 = 637,890 : x
  2. Step 2: Convert to fraction form
    289,496/637,890 = 637,890/x
  3. Step 3: Cross multiply
    289,496x = 637,890 × 637,890
  4. Step 4: Simplify right side
    289,496x = 406,903,652,100
  5. Step 5: Solve for x
    x = 406,903,652,100/289,496
  6. Step 6: Final answer
    x = 1,405,558.81

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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.