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Finding the Third Proportional to 515,180.25 and 788,109.75

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Solution

The third proportional to 515,180.25 and 788,109.75 is: 1,205,630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,180.25 : 788,109.75 = 788,109.75 : x
  2. Step 2: Convert to fraction form
    515,180.25/788,109.75 = 788,109.75/x
  3. Step 3: Cross multiply
    515,180.25x = 788,109.75 × 788,109.75
  4. Step 4: Simplify right side
    515,180.25x = 621,116,978,045.06
  5. Step 5: Solve for x
    x = 621,116,978,045.06/515,180.25
  6. Step 6: Final answer
    x = 1,205,630.41

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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.