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Finding the Third Proportional to 135,768 and 295,620

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Solution

The third proportional to 135,768 and 295,620 is: 643,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,768 : 295,620 = 295,620 : x
  2. Step 2: Convert to fraction form
    135,768/295,620 = 295,620/x
  3. Step 3: Cross multiply
    135,768x = 295,620 × 295,620
  4. Step 4: Simplify right side
    135,768x = 87,391,184,400
  5. Step 5: Solve for x
    x = 87,391,184,400/135,768
  6. Step 6: Final answer
    x = 643,680.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.