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Finding the Third Proportional to 209,620 and 452,438

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Solution

The third proportional to 209,620 and 452,438 is: 976,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,620 : 452,438 = 452,438 : x
  2. Step 2: Convert to fraction form
    209,620/452,438 = 452,438/x
  3. Step 3: Cross multiply
    209,620x = 452,438 × 452,438
  4. Step 4: Simplify right side
    209,620x = 204,700,143,844
  5. Step 5: Solve for x
    x = 204,700,143,844/209,620
  6. Step 6: Final answer
    x = 976,529.64

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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.