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Finding the Third Proportional to 301,131 and 668,691

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Solution

The third proportional to 301,131 and 668,691 is: 1,484,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,131 : 668,691 = 668,691 : x
  2. Step 2: Convert to fraction form
    301,131/668,691 = 668,691/x
  3. Step 3: Cross multiply
    301,131x = 668,691 × 668,691
  4. Step 4: Simplify right side
    301,131x = 447,147,653,481
  5. Step 5: Solve for x
    x = 447,147,653,481/301,131
  6. Step 6: Final answer
    x = 1,484,894.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.