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Finding the Third Proportional to 259,045 and 399,642

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Solution

The third proportional to 259,045 and 399,642 is: 616,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,045 : 399,642 = 399,642 : x
  2. Step 2: Convert to fraction form
    259,045/399,642 = 399,642/x
  3. Step 3: Cross multiply
    259,045x = 399,642 × 399,642
  4. Step 4: Simplify right side
    259,045x = 159,713,728,164
  5. Step 5: Solve for x
    x = 159,713,728,164/259,045
  6. Step 6: Final answer
    x = 616,548.20

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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.