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Finding the Third Proportional to 101,292 and 218,148

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Solution

The third proportional to 101,292 and 218,148 is: 469,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,292 : 218,148 = 218,148 : x
  2. Step 2: Convert to fraction form
    101,292/218,148 = 218,148/x
  3. Step 3: Cross multiply
    101,292x = 218,148 × 218,148
  4. Step 4: Simplify right side
    101,292x = 47,588,549,904
  5. Step 5: Solve for x
    x = 47,588,549,904/101,292
  6. Step 6: Final answer
    x = 469,815.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.