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Finding the Third Proportional to 378,537.75 and 581,839.59

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Solution

The third proportional to 378,537.75 and 581,839.59 is: 894,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,537.75 : 581,839.59 = 581,839.59 : x
  2. Step 2: Convert to fraction form
    378,537.75/581,839.59 = 581,839.59/x
  3. Step 3: Cross multiply
    378,537.75x = 581,839.59 × 581,839.59
  4. Step 4: Simplify right side
    378,537.75x = 338,537,312,855.17
  5. Step 5: Solve for x
    x = 338,537,312,855.17/378,537.75
  6. Step 6: Final answer
    x = 894,329.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.