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Finding the Third Proportional to 295,908.75 and 639,110.25

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Solution

The third proportional to 295,908.75 and 639,110.25 is: 1,380,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,908.75 : 639,110.25 = 639,110.25 : x
  2. Step 2: Convert to fraction form
    295,908.75/639,110.25 = 639,110.25/x
  3. Step 3: Cross multiply
    295,908.75x = 639,110.25 × 639,110.25
  4. Step 4: Simplify right side
    295,908.75x = 408,461,911,655.06
  5. Step 5: Solve for x
    x = 408,461,911,655.06/295,908.75
  6. Step 6: Final answer
    x = 1,380,364.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.