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Finding the Third Proportional to 323,015 and 452,643

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Solution

The third proportional to 323,015 and 452,643 is: 634,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,015 : 452,643 = 452,643 : x
  2. Step 2: Convert to fraction form
    323,015/452,643 = 452,643/x
  3. Step 3: Cross multiply
    323,015x = 452,643 × 452,643
  4. Step 4: Simplify right side
    323,015x = 204,885,685,449
  5. Step 5: Solve for x
    x = 204,885,685,449/323,015
  6. Step 6: Final answer
    x = 634,291.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.