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Finding the Third Proportional to 315,267 and 442,383

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Solution

The third proportional to 315,267 and 442,383 is: 620,752.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,267 : 442,383 = 442,383 : x
  2. Step 2: Convert to fraction form
    315,267/442,383 = 442,383/x
  3. Step 3: Cross multiply
    315,267x = 442,383 × 442,383
  4. Step 4: Simplify right side
    315,267x = 195,702,718,689
  5. Step 5: Solve for x
    x = 195,702,718,689/315,267
  6. Step 6: Final answer
    x = 620,752.31

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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.