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Finding the Third Proportional to 289,736 and 426,224

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Solution

The third proportional to 289,736 and 426,224 is: 627,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,736 : 426,224 = 426,224 : x
  2. Step 2: Convert to fraction form
    289,736/426,224 = 426,224/x
  3. Step 3: Cross multiply
    289,736x = 426,224 × 426,224
  4. Step 4: Simplify right side
    289,736x = 181,666,898,176
  5. Step 5: Solve for x
    x = 181,666,898,176/289,736
  6. Step 6: Final answer
    x = 627,008.37

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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.