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Finding the Third Proportional to 99,916 and 210,984

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Solution

The third proportional to 99,916 and 210,984 is: 445,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,916 : 210,984 = 210,984 : x
  2. Step 2: Convert to fraction form
    99,916/210,984 = 210,984/x
  3. Step 3: Cross multiply
    99,916x = 210,984 × 210,984
  4. Step 4: Simplify right side
    99,916x = 44,514,248,256
  5. Step 5: Solve for x
    x = 44,514,248,256/99,916
  6. Step 6: Final answer
    x = 445,516.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.