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Finding the Third Proportional to 309,450 and 417,519

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Solution

The third proportional to 309,450 and 417,519 is: 563,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,450 : 417,519 = 417,519 : x
  2. Step 2: Convert to fraction form
    309,450/417,519 = 417,519/x
  3. Step 3: Cross multiply
    309,450x = 417,519 × 417,519
  4. Step 4: Simplify right side
    309,450x = 174,322,115,361
  5. Step 5: Solve for x
    x = 174,322,115,361/309,450
  6. Step 6: Final answer
    x = 563,328.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.