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Finding the Third Proportional to 425,619 and 802,029

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Solution

The third proportional to 425,619 and 802,029 is: 1,511,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,619 : 802,029 = 802,029 : x
  2. Step 2: Convert to fraction form
    425,619/802,029 = 802,029/x
  3. Step 3: Cross multiply
    425,619x = 802,029 × 802,029
  4. Step 4: Simplify right side
    425,619x = 643,250,516,841
  5. Step 5: Solve for x
    x = 643,250,516,841/425,619
  6. Step 6: Final answer
    x = 1,511,329.42

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.