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Finding the Third Proportional to 428,990 and 923,752

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Solution

The third proportional to 428,990 and 923,752 is: 1,989,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,990 : 923,752 = 923,752 : x
  2. Step 2: Convert to fraction form
    428,990/923,752 = 923,752/x
  3. Step 3: Cross multiply
    428,990x = 923,752 × 923,752
  4. Step 4: Simplify right side
    428,990x = 853,317,757,504
  5. Step 5: Solve for x
    x = 853,317,757,504/428,990
  6. Step 6: Final answer
    x = 1,989,132.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.