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Finding the Third Proportional to 211,485 and 457,818

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Solution

The third proportional to 211,485 and 457,818 is: 991,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,485 : 457,818 = 457,818 : x
  2. Step 2: Convert to fraction form
    211,485/457,818 = 457,818/x
  3. Step 3: Cross multiply
    211,485x = 457,818 × 457,818
  4. Step 4: Simplify right side
    211,485x = 209,597,321,124
  5. Step 5: Solve for x
    x = 209,597,321,124/211,485
  6. Step 6: Final answer
    x = 991,074.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.