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Finding the Third Proportional to 515,329.50 and 770,625

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Solution

The third proportional to 515,329.50 and 770,625 is: 1,152,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,329.50 : 770,625 = 770,625 : x
  2. Step 2: Convert to fraction form
    515,329.50/770,625 = 770,625/x
  3. Step 3: Cross multiply
    515,329.50x = 770,625 × 770,625
  4. Step 4: Simplify right side
    515,329.50x = 593,862,890,625
  5. Step 5: Solve for x
    x = 593,862,890,625/515,329.50
  6. Step 6: Final answer
    x = 1,152,394.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.