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Finding the Third Proportional to 301,486 and 743,388

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Solution

The third proportional to 301,486 and 743,388 is: 1,833,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,486 : 743,388 = 743,388 : x
  2. Step 2: Convert to fraction form
    301,486/743,388 = 743,388/x
  3. Step 3: Cross multiply
    301,486x = 743,388 × 743,388
  4. Step 4: Simplify right side
    301,486x = 552,625,718,544
  5. Step 5: Solve for x
    x = 552,625,718,544/301,486
  6. Step 6: Final answer
    x = 1,833,006.24

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.