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Finding the Third Proportional to 515,745.50 and 788,441.25

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Solution

The third proportional to 515,745.50 and 788,441.25 is: 1,205,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,745.50 : 788,441.25 = 788,441.25 : x
  2. Step 2: Convert to fraction form
    515,745.50/788,441.25 = 788,441.25/x
  3. Step 3: Cross multiply
    515,745.50x = 788,441.25 × 788,441.25
  4. Step 4: Simplify right side
    515,745.50x = 621,639,604,701.56
  5. Step 5: Solve for x
    x = 621,639,604,701.56/515,745.50
  6. Step 6: Final answer
    x = 1,205,322.40

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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.