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Finding the Third Proportional to 318,087 and 686,004.19

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Solution

The third proportional to 318,087 and 686,004.19 is: 1,479,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,087 : 686,004.19 = 686,004.19 : x
  2. Step 2: Convert to fraction form
    318,087/686,004.19 = 686,004.19/x
  3. Step 3: Cross multiply
    318,087x = 686,004.19 × 686,004.19
  4. Step 4: Simplify right side
    318,087x = 470,601,745,267.54
  5. Step 5: Solve for x
    x = 470,601,745,267.54/318,087
  6. Step 6: Final answer
    x = 1,479,474.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.