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Finding the Third Proportional to 377,514 and 821,340

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Solution

The third proportional to 377,514 and 821,340 is: 1,786,952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,514 : 821,340 = 821,340 : x
  2. Step 2: Convert to fraction form
    377,514/821,340 = 821,340/x
  3. Step 3: Cross multiply
    377,514x = 821,340 × 821,340
  4. Step 4: Simplify right side
    377,514x = 674,599,395,600
  5. Step 5: Solve for x
    x = 674,599,395,600/377,514
  6. Step 6: Final answer
    x = 1,786,952.00

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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.