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Finding the Third Proportional to 219,138 and 455,124

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Solution

The third proportional to 219,138 and 455,124 is: 945,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,138 : 455,124 = 455,124 : x
  2. Step 2: Convert to fraction form
    219,138/455,124 = 455,124/x
  3. Step 3: Cross multiply
    219,138x = 455,124 × 455,124
  4. Step 4: Simplify right side
    219,138x = 207,137,855,376
  5. Step 5: Solve for x
    x = 207,137,855,376/219,138
  6. Step 6: Final answer
    x = 945,239.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.