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Finding the Third Proportional to 329,805 and 671,130

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Solution

The third proportional to 329,805 and 671,130 is: 1,365,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,805 : 671,130 = 671,130 : x
  2. Step 2: Convert to fraction form
    329,805/671,130 = 671,130/x
  3. Step 3: Cross multiply
    329,805x = 671,130 × 671,130
  4. Step 4: Simplify right side
    329,805x = 450,415,476,900
  5. Step 5: Solve for x
    x = 450,415,476,900/329,805
  6. Step 6: Final answer
    x = 1,365,702.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.