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Finding the Third Proportional to 209,977 and 453,650

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Solution

The third proportional to 209,977 and 453,650 is: 980,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,977 : 453,650 = 453,650 : x
  2. Step 2: Convert to fraction form
    209,977/453,650 = 453,650/x
  3. Step 3: Cross multiply
    209,977x = 453,650 × 453,650
  4. Step 4: Simplify right side
    209,977x = 205,798,322,500
  5. Step 5: Solve for x
    x = 205,798,322,500/209,977
  6. Step 6: Final answer
    x = 980,099.36

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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.