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Finding the Third Proportional to 550,387.88 and 839,817.75

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Solution

The third proportional to 550,387.88 and 839,817.75 is: 1,281,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,387.88 : 839,817.75 = 839,817.75 : x
  2. Step 2: Convert to fraction form
    550,387.88/839,817.75 = 839,817.75/x
  3. Step 3: Cross multiply
    550,387.88x = 839,817.75 × 839,817.75
  4. Step 4: Simplify right side
    550,387.88x = 705,293,853,215.06
  5. Step 5: Solve for x
    x = 705,293,853,215.06/550,387.88
  6. Step 6: Final answer
    x = 1,281,448.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.