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Finding the Third Proportional to 147,285 and 215,175

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Solution

The third proportional to 147,285 and 215,175 is: 314,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,285 : 215,175 = 215,175 : x
  2. Step 2: Convert to fraction form
    147,285/215,175 = 215,175/x
  3. Step 3: Cross multiply
    147,285x = 215,175 × 215,175
  4. Step 4: Simplify right side
    147,285x = 46,300,280,625
  5. Step 5: Solve for x
    x = 46,300,280,625/147,285
  6. Step 6: Final answer
    x = 314,358.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.