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Finding the Third Proportional to 209,698 and 456,260

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Solution

The third proportional to 209,698 and 456,260 is: 992,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,698 : 456,260 = 456,260 : x
  2. Step 2: Convert to fraction form
    209,698/456,260 = 456,260/x
  3. Step 3: Cross multiply
    209,698x = 456,260 × 456,260
  4. Step 4: Simplify right side
    209,698x = 208,173,187,600
  5. Step 5: Solve for x
    x = 208,173,187,600/209,698
  6. Step 6: Final answer
    x = 992,728.53

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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.