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Finding the Third Proportional to 515,220.75 and 788,211

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Solution

The third proportional to 515,220.75 and 788,211 is: 1,205,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,220.75 : 788,211 = 788,211 : x
  2. Step 2: Convert to fraction form
    515,220.75/788,211 = 788,211/x
  3. Step 3: Cross multiply
    515,220.75x = 788,211 × 788,211
  4. Step 4: Simplify right side
    515,220.75x = 621,276,580,521
  5. Step 5: Solve for x
    x = 621,276,580,521/515,220.75
  6. Step 6: Final answer
    x = 1,205,845.42

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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.