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Finding the Third Proportional to 305,343 and 672,678

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Solution

The third proportional to 305,343 and 672,678 is: 1,481,925.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,343 : 672,678 = 672,678 : x
  2. Step 2: Convert to fraction form
    305,343/672,678 = 672,678/x
  3. Step 3: Cross multiply
    305,343x = 672,678 × 672,678
  4. Step 4: Simplify right side
    305,343x = 452,495,691,684
  5. Step 5: Solve for x
    x = 452,495,691,684/305,343
  6. Step 6: Final answer
    x = 1,481,925.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.