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Finding the Third Proportional to 301,012 and 643,496

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Solution

The third proportional to 301,012 and 643,496 is: 1,375,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,012 : 643,496 = 643,496 : x
  2. Step 2: Convert to fraction form
    301,012/643,496 = 643,496/x
  3. Step 3: Cross multiply
    301,012x = 643,496 × 643,496
  4. Step 4: Simplify right side
    301,012x = 414,087,102,016
  5. Step 5: Solve for x
    x = 414,087,102,016/301,012
  6. Step 6: Final answer
    x = 1,375,649.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.