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Finding the Third Proportional to 207,816 and 453,120

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Solution

The third proportional to 207,816 and 453,120 is: 987,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,816 : 453,120 = 453,120 : x
  2. Step 2: Convert to fraction form
    207,816/453,120 = 453,120/x
  3. Step 3: Cross multiply
    207,816x = 453,120 × 453,120
  4. Step 4: Simplify right side
    207,816x = 205,317,734,400
  5. Step 5: Solve for x
    x = 205,317,734,400/207,816
  6. Step 6: Final answer
    x = 987,978.47

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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.