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Finding the Third Proportional to 291,462.75 and 627,212.25

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Solution

The third proportional to 291,462.75 and 627,212.25 is: 1,349,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,462.75 : 627,212.25 = 627,212.25 : x
  2. Step 2: Convert to fraction form
    291,462.75/627,212.25 = 627,212.25/x
  3. Step 3: Cross multiply
    291,462.75x = 627,212.25 × 627,212.25
  4. Step 4: Simplify right side
    291,462.75x = 393,395,206,550.06
  5. Step 5: Solve for x
    x = 393,395,206,550.06/291,462.75
  6. Step 6: Final answer
    x = 1,349,727.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.