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Finding the Third Proportional to 361,609 and 787,507

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Solution

The third proportional to 361,609 and 787,507 is: 1,715,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,609 : 787,507 = 787,507 : x
  2. Step 2: Convert to fraction form
    361,609/787,507 = 787,507/x
  3. Step 3: Cross multiply
    361,609x = 787,507 × 787,507
  4. Step 4: Simplify right side
    361,609x = 620,167,275,049
  5. Step 5: Solve for x
    x = 620,167,275,049/361,609
  6. Step 6: Final answer
    x = 1,715,021.68

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Why These Related Problems?

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