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Finding the Third Proportional to 211,522 and 459,908

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Solution

The third proportional to 211,522 and 459,908 is: 999,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,522 : 459,908 = 459,908 : x
  2. Step 2: Convert to fraction form
    211,522/459,908 = 459,908/x
  3. Step 3: Cross multiply
    211,522x = 459,908 × 459,908
  4. Step 4: Simplify right side
    211,522x = 211,515,368,464
  5. Step 5: Solve for x
    x = 211,515,368,464/211,522
  6. Step 6: Final answer
    x = 999,968.65

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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.