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Finding the Third Proportional to 329,810 and 671,138

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Solution

The third proportional to 329,810 and 671,138 is: 1,365,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,810 : 671,138 = 671,138 : x
  2. Step 2: Convert to fraction form
    329,810/671,138 = 671,138/x
  3. Step 3: Cross multiply
    329,810x = 671,138 × 671,138
  4. Step 4: Simplify right side
    329,810x = 450,426,215,044
  5. Step 5: Solve for x
    x = 450,426,215,044/329,810
  6. Step 6: Final answer
    x = 1,365,714.24

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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.