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Finding the Third Proportional to 363,840 and 765,378

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Solution

The third proportional to 363,840 and 765,378 is: 1,610,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,840 : 765,378 = 765,378 : x
  2. Step 2: Convert to fraction form
    363,840/765,378 = 765,378/x
  3. Step 3: Cross multiply
    363,840x = 765,378 × 765,378
  4. Step 4: Simplify right side
    363,840x = 585,803,482,884
  5. Step 5: Solve for x
    x = 585,803,482,884/363,840
  6. Step 6: Final answer
    x = 1,610,057.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.