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Finding the Third Proportional to 461,268 and 945,499.50

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Solution

The third proportional to 461,268 and 945,499.50 is: 1,938,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,268 : 945,499.50 = 945,499.50 : x
  2. Step 2: Convert to fraction form
    461,268/945,499.50 = 945,499.50/x
  3. Step 3: Cross multiply
    461,268x = 945,499.50 × 945,499.50
  4. Step 4: Simplify right side
    461,268x = 893,969,304,500.25
  5. Step 5: Solve for x
    x = 893,969,304,500.25/461,268
  6. Step 6: Final answer
    x = 1,938,069.20

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.