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Finding the Third Proportional to 289,491 and 637,880.25

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Solution

The third proportional to 289,491 and 637,880.25 is: 1,405,540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,491 : 637,880.25 = 637,880.25 : x
  2. Step 2: Convert to fraction form
    289,491/637,880.25 = 637,880.25/x
  3. Step 3: Cross multiply
    289,491x = 637,880.25 × 637,880.25
  4. Step 4: Simplify right side
    289,491x = 406,891,213,340.06
  5. Step 5: Solve for x
    x = 406,891,213,340.06/289,491
  6. Step 6: Final answer
    x = 1,405,540.11

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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.