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Finding the Third Proportional to 209,518 and 452,236

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Solution

The third proportional to 209,518 and 452,236 is: 976,132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,518 : 452,236 = 452,236 : x
  2. Step 2: Convert to fraction form
    209,518/452,236 = 452,236/x
  3. Step 3: Cross multiply
    209,518x = 452,236 × 452,236
  4. Step 4: Simplify right side
    209,518x = 204,517,399,696
  5. Step 5: Solve for x
    x = 204,517,399,696/209,518
  6. Step 6: Final answer
    x = 976,132.84

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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.