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Finding the Third Proportional to 301,827.75 and 639,627.75

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Solution

The third proportional to 301,827.75 and 639,627.75 is: 1,355,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,827.75 : 639,627.75 = 639,627.75 : x
  2. Step 2: Convert to fraction form
    301,827.75/639,627.75 = 639,627.75/x
  3. Step 3: Cross multiply
    301,827.75x = 639,627.75 × 639,627.75
  4. Step 4: Simplify right side
    301,827.75x = 409,123,658,570.06
  5. Step 5: Solve for x
    x = 409,123,658,570.06/301,827.75
  6. Step 6: Final answer
    x = 1,355,487.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.