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Finding the Third Proportional to 305,953 and 648,376

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Solution

The third proportional to 305,953 and 648,376 is: 1,374,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,953 : 648,376 = 648,376 : x
  2. Step 2: Convert to fraction form
    305,953/648,376 = 648,376/x
  3. Step 3: Cross multiply
    305,953x = 648,376 × 648,376
  4. Step 4: Simplify right side
    305,953x = 420,391,437,376
  5. Step 5: Solve for x
    x = 420,391,437,376/305,953
  6. Step 6: Final answer
    x = 1,374,039.27

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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.