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Finding the Third Proportional to 318,948 and 683,689

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Solution

The third proportional to 318,948 and 683,689 is: 1,465,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,948 : 683,689 = 683,689 : x
  2. Step 2: Convert to fraction form
    318,948/683,689 = 683,689/x
  3. Step 3: Cross multiply
    318,948x = 683,689 × 683,689
  4. Step 4: Simplify right side
    318,948x = 467,430,648,721
  5. Step 5: Solve for x
    x = 467,430,648,721/318,948
  6. Step 6: Final answer
    x = 1,465,538.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.