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Finding the Third Proportional to 305,952 and 648,374

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Solution

The third proportional to 305,952 and 648,374 is: 1,374,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,952 : 648,374 = 648,374 : x
  2. Step 2: Convert to fraction form
    305,952/648,374 = 648,374/x
  3. Step 3: Cross multiply
    305,952x = 648,374 × 648,374
  4. Step 4: Simplify right side
    305,952x = 420,388,843,876
  5. Step 5: Solve for x
    x = 420,388,843,876/305,952
  6. Step 6: Final answer
    x = 1,374,035.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.