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Finding the Third Proportional to 211,179 and 459,538

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Solution

The third proportional to 211,179 and 459,538 is: 999,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,179 : 459,538 = 459,538 : x
  2. Step 2: Convert to fraction form
    211,179/459,538 = 459,538/x
  3. Step 3: Cross multiply
    211,179x = 459,538 × 459,538
  4. Step 4: Simplify right side
    211,179x = 211,175,173,444
  5. Step 5: Solve for x
    x = 211,175,173,444/211,179
  6. Step 6: Final answer
    x = 999,981.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.