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Finding the Third Proportional to 423,852 and 920,604

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Solution

The third proportional to 423,852 and 920,604 is: 1,999,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,852 : 920,604 = 920,604 : x
  2. Step 2: Convert to fraction form
    423,852/920,604 = 920,604/x
  3. Step 3: Cross multiply
    423,852x = 920,604 × 920,604
  4. Step 4: Simplify right side
    423,852x = 847,511,724,816
  5. Step 5: Solve for x
    x = 847,511,724,816/423,852
  6. Step 6: Final answer
    x = 1,999,546.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.