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Finding the Third Proportional to 280,613.25 and 613,629

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Solution

The third proportional to 280,613.25 and 613,629 is: 1,341,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,613.25 : 613,629 = 613,629 : x
  2. Step 2: Convert to fraction form
    280,613.25/613,629 = 613,629/x
  3. Step 3: Cross multiply
    280,613.25x = 613,629 × 613,629
  4. Step 4: Simplify right side
    280,613.25x = 376,540,549,641
  5. Step 5: Solve for x
    x = 376,540,549,641/280,613.25
  6. Step 6: Final answer
    x = 1,341,848.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.