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Finding the Third Proportional to 351,386 and 772,744

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Solution

The third proportional to 351,386 and 772,744 is: 1,699,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,386 : 772,744 = 772,744 : x
  2. Step 2: Convert to fraction form
    351,386/772,744 = 772,744/x
  3. Step 3: Cross multiply
    351,386x = 772,744 × 772,744
  4. Step 4: Simplify right side
    351,386x = 597,133,289,536
  5. Step 5: Solve for x
    x = 597,133,289,536/351,386
  6. Step 6: Final answer
    x = 1,699,365.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.