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Finding the Third Proportional to 309,588 and 632,295

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Solution

The third proportional to 309,588 and 632,295 is: 1,291,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,588 : 632,295 = 632,295 : x
  2. Step 2: Convert to fraction form
    309,588/632,295 = 632,295/x
  3. Step 3: Cross multiply
    309,588x = 632,295 × 632,295
  4. Step 4: Simplify right side
    309,588x = 399,796,967,025
  5. Step 5: Solve for x
    x = 399,796,967,025/309,588
  6. Step 6: Final answer
    x = 1,291,383.93

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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.