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Finding the Third Proportional to 353,513 and 768,502

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Solution

The third proportional to 353,513 and 768,502 is: 1,670,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,513 : 768,502 = 768,502 : x
  2. Step 2: Convert to fraction form
    353,513/768,502 = 768,502/x
  3. Step 3: Cross multiply
    353,513x = 768,502 × 768,502
  4. Step 4: Simplify right side
    353,513x = 590,595,324,004
  5. Step 5: Solve for x
    x = 590,595,324,004/353,513
  6. Step 6: Final answer
    x = 1,670,646.69

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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.