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Finding the Third Proportional to 450,839.25 and 948,364.88

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Solution

The third proportional to 450,839.25 and 948,364.88 is: 1,994,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,839.25 : 948,364.88 = 948,364.88 : x
  2. Step 2: Convert to fraction form
    450,839.25/948,364.88 = 948,364.88/x
  3. Step 3: Cross multiply
    450,839.25x = 948,364.88 × 948,364.88
  4. Step 4: Simplify right side
    450,839.25x = 899,395,936,133.77
  5. Step 5: Solve for x
    x = 899,395,936,133.77/450,839.25
  6. Step 6: Final answer
    x = 1,994,937.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.