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Finding the Third Proportional to 289,542 and 637,980

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Solution

The third proportional to 289,542 and 637,980 is: 1,405,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,542 : 637,980 = 637,980 : x
  2. Step 2: Convert to fraction form
    289,542/637,980 = 637,980/x
  3. Step 3: Cross multiply
    289,542x = 637,980 × 637,980
  4. Step 4: Simplify right side
    289,542x = 407,018,480,400
  5. Step 5: Solve for x
    x = 407,018,480,400/289,542
  6. Step 6: Final answer
    x = 1,405,732.09

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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.