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Finding the Third Proportional to 319,390 and 681,629

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Solution

The third proportional to 319,390 and 681,629 is: 1,454,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,390 : 681,629 = 681,629 : x
  2. Step 2: Convert to fraction form
    319,390/681,629 = 681,629/x
  3. Step 3: Cross multiply
    319,390x = 681,629 × 681,629
  4. Step 4: Simplify right side
    319,390x = 464,618,093,641
  5. Step 5: Solve for x
    x = 464,618,093,641/319,390
  6. Step 6: Final answer
    x = 1,454,704.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.