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Finding the Third Proportional to 656,530 and 1,428,089

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Solution

The third proportional to 656,530 and 1,428,089 is: 3,106,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,530 : 1,428,089 = 1,428,089 : x
  2. Step 2: Convert to fraction form
    656,530/1,428,089 = 1,428,089/x
  3. Step 3: Cross multiply
    656,530x = 1,428,089 × 1,428,089
  4. Step 4: Simplify right side
    656,530x = 2,039,438,191,921
  5. Step 5: Solve for x
    x = 2,039,438,191,921/656,530
  6. Step 6: Final answer
    x = 3,106,389.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.