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Finding the Third Proportional to 102,056 and 219,736

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Solution

The third proportional to 102,056 and 219,736 is: 473,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,056 : 219,736 = 219,736 : x
  2. Step 2: Convert to fraction form
    102,056/219,736 = 219,736/x
  3. Step 3: Cross multiply
    102,056x = 219,736 × 219,736
  4. Step 4: Simplify right side
    102,056x = 48,283,909,696
  5. Step 5: Solve for x
    x = 48,283,909,696/102,056
  6. Step 6: Final answer
    x = 473,111.92

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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.