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Finding the Third Proportional to 377,518 and 821,348

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Solution

The third proportional to 377,518 and 821,348 is: 1,786,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,518 : 821,348 = 821,348 : x
  2. Step 2: Convert to fraction form
    377,518/821,348 = 821,348/x
  3. Step 3: Cross multiply
    377,518x = 821,348 × 821,348
  4. Step 4: Simplify right side
    377,518x = 674,612,537,104
  5. Step 5: Solve for x
    x = 674,612,537,104/377,518
  6. Step 6: Final answer
    x = 1,786,967.87

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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.