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Finding the Third Proportional to 305,773 and 648,548

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Solution

The third proportional to 305,773 and 648,548 is: 1,375,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,773 : 648,548 = 648,548 : x
  2. Step 2: Convert to fraction form
    305,773/648,548 = 648,548/x
  3. Step 3: Cross multiply
    305,773x = 648,548 × 648,548
  4. Step 4: Simplify right side
    305,773x = 420,614,508,304
  5. Step 5: Solve for x
    x = 420,614,508,304/305,773
  6. Step 6: Final answer
    x = 1,375,577.66

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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.