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Finding the Third Proportional to 309,608 and 632,332

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Solution

The third proportional to 309,608 and 632,332 is: 1,291,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,608 : 632,332 = 632,332 : x
  2. Step 2: Convert to fraction form
    309,608/632,332 = 632,332/x
  3. Step 3: Cross multiply
    309,608x = 632,332 × 632,332
  4. Step 4: Simplify right side
    309,608x = 399,843,758,224
  5. Step 5: Solve for x
    x = 399,843,758,224/309,608
  6. Step 6: Final answer
    x = 1,291,451.64

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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.