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Finding the Third Proportional to 219,026 and 448,420

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Solution

The third proportional to 219,026 and 448,420 is: 918,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,026 : 448,420 = 448,420 : x
  2. Step 2: Convert to fraction form
    219,026/448,420 = 448,420/x
  3. Step 3: Cross multiply
    219,026x = 448,420 × 448,420
  4. Step 4: Simplify right side
    219,026x = 201,080,496,400
  5. Step 5: Solve for x
    x = 201,080,496,400/219,026
  6. Step 6: Final answer
    x = 918,066.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.