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Finding the Third Proportional to 302,990 and 448,653

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Solution

The third proportional to 302,990 and 448,653 is: 664,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,990 : 448,653 = 448,653 : x
  2. Step 2: Convert to fraction form
    302,990/448,653 = 448,653/x
  3. Step 3: Cross multiply
    302,990x = 448,653 × 448,653
  4. Step 4: Simplify right side
    302,990x = 201,289,514,409
  5. Step 5: Solve for x
    x = 201,289,514,409/302,990
  6. Step 6: Final answer
    x = 664,343.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.