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Finding the Third Proportional to 99,772 and 215,370

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Solution

The third proportional to 99,772 and 215,370 is: 464,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,772 : 215,370 = 215,370 : x
  2. Step 2: Convert to fraction form
    99,772/215,370 = 215,370/x
  3. Step 3: Cross multiply
    99,772x = 215,370 × 215,370
  4. Step 4: Simplify right side
    99,772x = 46,384,236,900
  5. Step 5: Solve for x
    x = 46,384,236,900/99,772
  6. Step 6: Final answer
    x = 464,902.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.