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Finding the Third Proportional to 259,610 and 559,396

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Solution

The third proportional to 259,610 and 559,396 is: 1,205,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,610 : 559,396 = 559,396 : x
  2. Step 2: Convert to fraction form
    259,610/559,396 = 559,396/x
  3. Step 3: Cross multiply
    259,610x = 559,396 × 559,396
  4. Step 4: Simplify right side
    259,610x = 312,923,884,816
  5. Step 5: Solve for x
    x = 312,923,884,816/259,610
  6. Step 6: Final answer
    x = 1,205,361.45

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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.