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Finding the Third Proportional to 103,320 and 219,072

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Solution

The third proportional to 103,320 and 219,072 is: 464,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,320 : 219,072 = 219,072 : x
  2. Step 2: Convert to fraction form
    103,320/219,072 = 219,072/x
  3. Step 3: Cross multiply
    103,320x = 219,072 × 219,072
  4. Step 4: Simplify right side
    103,320x = 47,992,541,184
  5. Step 5: Solve for x
    x = 47,992,541,184/103,320
  6. Step 6: Final answer
    x = 464,503.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.