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Finding the Third Proportional to 515,913.75 and 743,107.50

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Solution

The third proportional to 515,913.75 and 743,107.50 is: 1,070,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,913.75 : 743,107.50 = 743,107.50 : x
  2. Step 2: Convert to fraction form
    515,913.75/743,107.50 = 743,107.50/x
  3. Step 3: Cross multiply
    515,913.75x = 743,107.50 × 743,107.50
  4. Step 4: Simplify right side
    515,913.75x = 552,208,756,556.25
  5. Step 5: Solve for x
    x = 552,208,756,556.25/515,913.75
  6. Step 6: Final answer
    x = 1,070,350.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.