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Finding the Third Proportional to 380,679.75 and 535,605.75

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Solution

The third proportional to 380,679.75 and 535,605.75 is: 753,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,679.75 : 535,605.75 = 535,605.75 : x
  2. Step 2: Convert to fraction form
    380,679.75/535,605.75 = 535,605.75/x
  3. Step 3: Cross multiply
    380,679.75x = 535,605.75 × 535,605.75
  4. Step 4: Simplify right side
    380,679.75x = 286,873,519,433.06
  5. Step 5: Solve for x
    x = 286,873,519,433.06/380,679.75
  6. Step 6: Final answer
    x = 753,582.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.