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Finding the Third Proportional to 425,617 and 802,025

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Solution

The third proportional to 425,617 and 802,025 is: 1,511,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,617 : 802,025 = 802,025 : x
  2. Step 2: Convert to fraction form
    425,617/802,025 = 802,025/x
  3. Step 3: Cross multiply
    425,617x = 802,025 × 802,025
  4. Step 4: Simplify right side
    425,617x = 643,244,100,625
  5. Step 5: Solve for x
    x = 643,244,100,625/425,617
  6. Step 6: Final answer
    x = 1,511,321.45

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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.