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Finding the Third Proportional to 399,304 and 873,632

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Solution

The third proportional to 399,304 and 873,632 is: 1,911,408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,304 : 873,632 = 873,632 : x
  2. Step 2: Convert to fraction form
    399,304/873,632 = 873,632/x
  3. Step 3: Cross multiply
    399,304x = 873,632 × 873,632
  4. Step 4: Simplify right side
    399,304x = 763,232,871,424
  5. Step 5: Solve for x
    x = 763,232,871,424/399,304
  6. Step 6: Final answer
    x = 1,911,408.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.