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Finding the Third Proportional to 513,308.25 and 798,975

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Solution

The third proportional to 513,308.25 and 798,975 is: 1,243,621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,308.25 : 798,975 = 798,975 : x
  2. Step 2: Convert to fraction form
    513,308.25/798,975 = 798,975/x
  3. Step 3: Cross multiply
    513,308.25x = 798,975 × 798,975
  4. Step 4: Simplify right side
    513,308.25x = 638,361,050,625
  5. Step 5: Solve for x
    x = 638,361,050,625/513,308.25
  6. Step 6: Final answer
    x = 1,243,621.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.