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Finding the Third Proportional to 259,140 and 399,777

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Solution

The third proportional to 259,140 and 399,777 is: 616,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,140 : 399,777 = 399,777 : x
  2. Step 2: Convert to fraction form
    259,140/399,777 = 399,777/x
  3. Step 3: Cross multiply
    259,140x = 399,777 × 399,777
  4. Step 4: Simplify right side
    259,140x = 159,821,649,729
  5. Step 5: Solve for x
    x = 159,821,649,729/259,140
  6. Step 6: Final answer
    x = 616,738.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.