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Finding the Third Proportional to 319,974 and 687,435

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Solution

The third proportional to 319,974 and 687,435 is: 1,476,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,974 : 687,435 = 687,435 : x
  2. Step 2: Convert to fraction form
    319,974/687,435 = 687,435/x
  3. Step 3: Cross multiply
    319,974x = 687,435 × 687,435
  4. Step 4: Simplify right side
    319,974x = 472,566,879,225
  5. Step 5: Solve for x
    x = 472,566,879,225/319,974
  6. Step 6: Final answer
    x = 1,476,891.50

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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.