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Finding the Third Proportional to 210,823 and 455,296

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Solution

The third proportional to 210,823 and 455,296 is: 983,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,823 : 455,296 = 455,296 : x
  2. Step 2: Convert to fraction form
    210,823/455,296 = 455,296/x
  3. Step 3: Cross multiply
    210,823x = 455,296 × 455,296
  4. Step 4: Simplify right side
    210,823x = 207,294,447,616
  5. Step 5: Solve for x
    x = 207,294,447,616/210,823
  6. Step 6: Final answer
    x = 983,262.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.