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Finding the Third Proportional to 449,969 and 632,854

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Solution

The third proportional to 449,969 and 632,854 is: 890,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,969 : 632,854 = 632,854 : x
  2. Step 2: Convert to fraction form
    449,969/632,854 = 632,854/x
  3. Step 3: Cross multiply
    449,969x = 632,854 × 632,854
  4. Step 4: Simplify right side
    449,969x = 400,504,185,316
  5. Step 5: Solve for x
    x = 400,504,185,316/449,969
  6. Step 6: Final answer
    x = 890,070.62

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.