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Finding the Third Proportional to 319,828 and 689,480

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Solution

The third proportional to 319,828 and 689,480 is: 1,486,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,828 : 689,480 = 689,480 : x
  2. Step 2: Convert to fraction form
    319,828/689,480 = 689,480/x
  3. Step 3: Cross multiply
    319,828x = 689,480 × 689,480
  4. Step 4: Simplify right side
    319,828x = 475,382,670,400
  5. Step 5: Solve for x
    x = 475,382,670,400/319,828
  6. Step 6: Final answer
    x = 1,486,369.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.