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Finding the Third Proportional to 515,720.25 and 788,406.75

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Solution

The third proportional to 515,720.25 and 788,406.75 is: 1,205,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,720.25 : 788,406.75 = 788,406.75 : x
  2. Step 2: Convert to fraction form
    515,720.25/788,406.75 = 788,406.75/x
  3. Step 3: Cross multiply
    515,720.25x = 788,406.75 × 788,406.75
  4. Step 4: Simplify right side
    515,720.25x = 621,585,203,445.56
  5. Step 5: Solve for x
    x = 621,585,203,445.56/515,720.25
  6. Step 6: Final answer
    x = 1,205,275.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.