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Finding the Third Proportional to 354,604 and 768,284

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Solution

The third proportional to 354,604 and 768,284 is: 1,664,561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,604 : 768,284 = 768,284 : x
  2. Step 2: Convert to fraction form
    354,604/768,284 = 768,284/x
  3. Step 3: Cross multiply
    354,604x = 768,284 × 768,284
  4. Step 4: Simplify right side
    354,604x = 590,260,304,656
  5. Step 5: Solve for x
    x = 590,260,304,656/354,604
  6. Step 6: Final answer
    x = 1,664,561.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.