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Finding the Third Proportional to 213,521 and 459,199

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Solution

The third proportional to 213,521 and 459,199 is: 987,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,521 : 459,199 = 459,199 : x
  2. Step 2: Convert to fraction form
    213,521/459,199 = 459,199/x
  3. Step 3: Cross multiply
    213,521x = 459,199 × 459,199
  4. Step 4: Simplify right side
    213,521x = 210,863,721,601
  5. Step 5: Solve for x
    x = 210,863,721,601/213,521
  6. Step 6: Final answer
    x = 987,554.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.