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Finding the Third Proportional to 298,971 and 447,633

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Solution

The third proportional to 298,971 and 447,633 is: 670,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,971 : 447,633 = 447,633 : x
  2. Step 2: Convert to fraction form
    298,971/447,633 = 447,633/x
  3. Step 3: Cross multiply
    298,971x = 447,633 × 447,633
  4. Step 4: Simplify right side
    298,971x = 200,375,302,689
  5. Step 5: Solve for x
    x = 200,375,302,689/298,971
  6. Step 6: Final answer
    x = 670,216.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.