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Finding the Third Proportional to 289,746 and 426,234

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Solution

The third proportional to 289,746 and 426,234 is: 627,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,746 : 426,234 = 426,234 : x
  2. Step 2: Convert to fraction form
    289,746/426,234 = 426,234/x
  3. Step 3: Cross multiply
    289,746x = 426,234 × 426,234
  4. Step 4: Simplify right side
    289,746x = 181,675,422,756
  5. Step 5: Solve for x
    x = 181,675,422,756/289,746
  6. Step 6: Final answer
    x = 627,016.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.