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Finding the Third Proportional to 210,698 and 459,268

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Solution

The third proportional to 210,698 and 459,268 is: 1,001,087.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,698 : 459,268 = 459,268 : x
  2. Step 2: Convert to fraction form
    210,698/459,268 = 459,268/x
  3. Step 3: Cross multiply
    210,698x = 459,268 × 459,268
  4. Step 4: Simplify right side
    210,698x = 210,927,095,824
  5. Step 5: Solve for x
    x = 210,927,095,824/210,698
  6. Step 6: Final answer
    x = 1,001,087.32

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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.