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Finding the Third Proportional to 308,409 and 672,726

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Solution

The third proportional to 308,409 and 672,726 is: 1,467,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,409 : 672,726 = 672,726 : x
  2. Step 2: Convert to fraction form
    308,409/672,726 = 672,726/x
  3. Step 3: Cross multiply
    308,409x = 672,726 × 672,726
  4. Step 4: Simplify right side
    308,409x = 452,560,271,076
  5. Step 5: Solve for x
    x = 452,560,271,076/308,409
  6. Step 6: Final answer
    x = 1,467,402.93

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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.