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Finding the Third Proportional to 721,399 and 1,539,302

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Solution

The third proportional to 721,399 and 1,539,302 is: 3,284,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,399 : 1,539,302 = 1,539,302 : x
  2. Step 2: Convert to fraction form
    721,399/1,539,302 = 1,539,302/x
  3. Step 3: Cross multiply
    721,399x = 1,539,302 × 1,539,302
  4. Step 4: Simplify right side
    721,399x = 2,369,450,647,204
  5. Step 5: Solve for x
    x = 2,369,450,647,204/721,399
  6. Step 6: Final answer
    x = 3,284,521.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.