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Finding the Third Proportional to 102,276 and 219,240

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Solution

The third proportional to 102,276 and 219,240 is: 469,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,276 : 219,240 = 219,240 : x
  2. Step 2: Convert to fraction form
    102,276/219,240 = 219,240/x
  3. Step 3: Cross multiply
    102,276x = 219,240 × 219,240
  4. Step 4: Simplify right side
    102,276x = 48,066,177,600
  5. Step 5: Solve for x
    x = 48,066,177,600/102,276
  6. Step 6: Final answer
    x = 469,965.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.