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Finding the Third Proportional to 211,457 and 455,923

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Solution

The third proportional to 211,457 and 455,923 is: 983,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,457 : 455,923 = 455,923 : x
  2. Step 2: Convert to fraction form
    211,457/455,923 = 455,923/x
  3. Step 3: Cross multiply
    211,457x = 455,923 × 455,923
  4. Step 4: Simplify right side
    211,457x = 207,865,781,929
  5. Step 5: Solve for x
    x = 207,865,781,929/211,457
  6. Step 6: Final answer
    x = 983,016.79

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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.