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Finding the Third Proportional to 305,952 and 648,369

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Solution

The third proportional to 305,952 and 648,369 is: 1,374,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,952 : 648,369 = 648,369 : x
  2. Step 2: Convert to fraction form
    305,952/648,369 = 648,369/x
  3. Step 3: Cross multiply
    305,952x = 648,369 × 648,369
  4. Step 4: Simplify right side
    305,952x = 420,382,360,161
  5. Step 5: Solve for x
    x = 420,382,360,161/305,952
  6. Step 6: Final answer
    x = 1,374,014.09

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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.