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Finding the Third Proportional to 147,723 and 215,127

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Solution

The third proportional to 147,723 and 215,127 is: 313,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,723 : 215,127 = 215,127 : x
  2. Step 2: Convert to fraction form
    147,723/215,127 = 215,127/x
  3. Step 3: Cross multiply
    147,723x = 215,127 × 215,127
  4. Step 4: Simplify right side
    147,723x = 46,279,626,129
  5. Step 5: Solve for x
    x = 46,279,626,129/147,723
  6. Step 6: Final answer
    x = 313,286.53

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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.