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Finding the Third Proportional to 209,976 and 453,648

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Solution

The third proportional to 209,976 and 453,648 is: 980,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,976 : 453,648 = 453,648 : x
  2. Step 2: Convert to fraction form
    209,976/453,648 = 453,648/x
  3. Step 3: Cross multiply
    209,976x = 453,648 × 453,648
  4. Step 4: Simplify right side
    209,976x = 205,796,507,904
  5. Step 5: Solve for x
    x = 205,796,507,904/209,976
  6. Step 6: Final answer
    x = 980,095.38

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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.