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Finding the Third Proportional to 355,668 and 632,389

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Solution

The third proportional to 355,668 and 632,389 is: 1,124,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,668 : 632,389 = 632,389 : x
  2. Step 2: Convert to fraction form
    355,668/632,389 = 632,389/x
  3. Step 3: Cross multiply
    355,668x = 632,389 × 632,389
  4. Step 4: Simplify right side
    355,668x = 399,915,847,321
  5. Step 5: Solve for x
    x = 399,915,847,321/355,668
  6. Step 6: Final answer
    x = 1,124,407.73

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.