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Finding the Third Proportional to 211,520 and 459,904

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Solution

The third proportional to 211,520 and 459,904 is: 999,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,520 : 459,904 = 459,904 : x
  2. Step 2: Convert to fraction form
    211,520/459,904 = 459,904/x
  3. Step 3: Cross multiply
    211,520x = 459,904 × 459,904
  4. Step 4: Simplify right side
    211,520x = 211,511,689,216
  5. Step 5: Solve for x
    x = 211,511,689,216/211,520
  6. Step 6: Final answer
    x = 999,960.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.