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Finding the Third Proportional to 99,853.50 and 219,072

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Solution

The third proportional to 99,853.50 and 219,072 is: 480,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,853.50 : 219,072 = 219,072 : x
  2. Step 2: Convert to fraction form
    99,853.50/219,072 = 219,072/x
  3. Step 3: Cross multiply
    99,853.50x = 219,072 × 219,072
  4. Step 4: Simplify right side
    99,853.50x = 47,992,541,184
  5. Step 5: Solve for x
    x = 47,992,541,184/99,853.50
  6. Step 6: Final answer
    x = 480,629.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.