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Finding the Third Proportional to 309,604 and 632,324

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Solution

The third proportional to 309,604 and 632,324 is: 1,291,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,604 : 632,324 = 632,324 : x
  2. Step 2: Convert to fraction form
    309,604/632,324 = 632,324/x
  3. Step 3: Cross multiply
    309,604x = 632,324 × 632,324
  4. Step 4: Simplify right side
    309,604x = 399,833,640,976
  5. Step 5: Solve for x
    x = 399,833,640,976/309,604
  6. Step 6: Final answer
    x = 1,291,435.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.