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Finding the Third Proportional to 259,989 and 399,445

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Solution

The third proportional to 259,989 and 399,445 is: 613,704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,989 : 399,445 = 399,445 : x
  2. Step 2: Convert to fraction form
    259,989/399,445 = 399,445/x
  3. Step 3: Cross multiply
    259,989x = 399,445 × 399,445
  4. Step 4: Simplify right side
    259,989x = 159,556,308,025
  5. Step 5: Solve for x
    x = 159,556,308,025/259,989
  6. Step 6: Final answer
    x = 613,704.07

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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.