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Finding the Third Proportional to 135,000 and 295,416

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Solution

The third proportional to 135,000 and 295,416 is: 646,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,000 : 295,416 = 295,416 : x
  2. Step 2: Convert to fraction form
    135,000/295,416 = 295,416/x
  3. Step 3: Cross multiply
    135,000x = 295,416 × 295,416
  4. Step 4: Simplify right side
    135,000x = 87,270,613,056
  5. Step 5: Solve for x
    x = 87,270,613,056/135,000
  6. Step 6: Final answer
    x = 646,448.99

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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.