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Finding the Third Proportional to 259,609.50 and 559,395

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Solution

The third proportional to 259,609.50 and 559,395 is: 1,205,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,609.50 : 559,395 = 559,395 : x
  2. Step 2: Convert to fraction form
    259,609.50/559,395 = 559,395/x
  3. Step 3: Cross multiply
    259,609.50x = 559,395 × 559,395
  4. Step 4: Simplify right side
    259,609.50x = 312,922,766,025
  5. Step 5: Solve for x
    x = 312,922,766,025/259,609.50
  6. Step 6: Final answer
    x = 1,205,359.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.