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Finding the Third Proportional to 318,243 and 686,298

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Solution

The third proportional to 318,243 and 686,298 is: 1,480,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,243 : 686,298 = 686,298 : x
  2. Step 2: Convert to fraction form
    318,243/686,298 = 686,298/x
  3. Step 3: Cross multiply
    318,243x = 686,298 × 686,298
  4. Step 4: Simplify right side
    318,243x = 471,004,944,804
  5. Step 5: Solve for x
    x = 471,004,944,804/318,243
  6. Step 6: Final answer
    x = 1,480,016.67

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Why These Related Problems?

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