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Finding the Third Proportional to 513,698 and 681,623

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Solution

The third proportional to 513,698 and 681,623 is: 904,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,698 : 681,623 = 681,623 : x
  2. Step 2: Convert to fraction form
    513,698/681,623 = 681,623/x
  3. Step 3: Cross multiply
    513,698x = 681,623 × 681,623
  4. Step 4: Simplify right side
    513,698x = 464,609,914,129
  5. Step 5: Solve for x
    x = 464,609,914,129/513,698
  6. Step 6: Final answer
    x = 904,441.74

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.