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Finding the Third Proportional to 364,400 and 768,409

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Solution

The third proportional to 364,400 and 768,409 is: 1,620,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,400 : 768,409 = 768,409 : x
  2. Step 2: Convert to fraction form
    364,400/768,409 = 768,409/x
  3. Step 3: Cross multiply
    364,400x = 768,409 × 768,409
  4. Step 4: Simplify right side
    364,400x = 590,452,391,281
  5. Step 5: Solve for x
    x = 590,452,391,281/364,400
  6. Step 6: Final answer
    x = 1,620,341.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.