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Finding the Third Proportional to 258,259 and 559,413

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Solution

The third proportional to 258,259 and 559,413 is: 1,211,740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,259 : 559,413 = 559,413 : x
  2. Step 2: Convert to fraction form
    258,259/559,413 = 559,413/x
  3. Step 3: Cross multiply
    258,259x = 559,413 × 559,413
  4. Step 4: Simplify right side
    258,259x = 312,942,904,569
  5. Step 5: Solve for x
    x = 312,942,904,569/258,259
  6. Step 6: Final answer
    x = 1,211,740.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.