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Finding the Third Proportional to 217,026 and 447,044

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Solution

The third proportional to 217,026 and 447,044 is: 920,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,026 : 447,044 = 447,044 : x
  2. Step 2: Convert to fraction form
    217,026/447,044 = 447,044/x
  3. Step 3: Cross multiply
    217,026x = 447,044 × 447,044
  4. Step 4: Simplify right side
    217,026x = 199,848,337,936
  5. Step 5: Solve for x
    x = 199,848,337,936/217,026
  6. Step 6: Final answer
    x = 920,849.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.