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Finding the Third Proportional to 329,412 and 687,420

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Solution

The third proportional to 329,412 and 687,420 is: 1,434,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,412 : 687,420 = 687,420 : x
  2. Step 2: Convert to fraction form
    329,412/687,420 = 687,420/x
  3. Step 3: Cross multiply
    329,412x = 687,420 × 687,420
  4. Step 4: Simplify right side
    329,412x = 472,546,256,400
  5. Step 5: Solve for x
    x = 472,546,256,400/329,412
  6. Step 6: Final answer
    x = 1,434,514.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.