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Finding the Third Proportional to 210,898 and 439,296

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Solution

The third proportional to 210,898 and 439,296 is: 915,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,898 : 439,296 = 439,296 : x
  2. Step 2: Convert to fraction form
    210,898/439,296 = 439,296/x
  3. Step 3: Cross multiply
    210,898x = 439,296 × 439,296
  4. Step 4: Simplify right side
    210,898x = 192,980,975,616
  5. Step 5: Solve for x
    x = 192,980,975,616/210,898
  6. Step 6: Final answer
    x = 915,044.12

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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.