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Finding the Third Proportional to 288,774 and 448,869

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Solution

The third proportional to 288,774 and 448,869 is: 697,719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,774 : 448,869 = 448,869 : x
  2. Step 2: Convert to fraction form
    288,774/448,869 = 448,869/x
  3. Step 3: Cross multiply
    288,774x = 448,869 × 448,869
  4. Step 4: Simplify right side
    288,774x = 201,483,379,161
  5. Step 5: Solve for x
    x = 201,483,379,161/288,774
  6. Step 6: Final answer
    x = 697,719.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.