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Finding the Third Proportional to 380,801.25 and 587,715.75

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Solution

The third proportional to 380,801.25 and 587,715.75 is: 907,060.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,801.25 : 587,715.75 = 587,715.75 : x
  2. Step 2: Convert to fraction form
    380,801.25/587,715.75 = 587,715.75/x
  3. Step 3: Cross multiply
    380,801.25x = 587,715.75 × 587,715.75
  4. Step 4: Simplify right side
    380,801.25x = 345,409,802,798.06
  5. Step 5: Solve for x
    x = 345,409,802,798.06/380,801.25
  6. Step 6: Final answer
    x = 907,060.58

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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.