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Finding the Third Proportional to 135,780 and 295,656

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Solution

The third proportional to 135,780 and 295,656 is: 643,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,780 : 295,656 = 295,656 : x
  2. Step 2: Convert to fraction form
    135,780/295,656 = 295,656/x
  3. Step 3: Cross multiply
    135,780x = 295,656 × 295,656
  4. Step 4: Simplify right side
    135,780x = 87,412,470,336
  5. Step 5: Solve for x
    x = 87,412,470,336/135,780
  6. Step 6: Final answer
    x = 643,780.16

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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.