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Finding the Third Proportional to 99,865 and 210,998

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Solution

The third proportional to 99,865 and 210,998 is: 445,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,865 : 210,998 = 210,998 : x
  2. Step 2: Convert to fraction form
    99,865/210,998 = 210,998/x
  3. Step 3: Cross multiply
    99,865x = 210,998 × 210,998
  4. Step 4: Simplify right side
    99,865x = 44,520,156,004
  5. Step 5: Solve for x
    x = 44,520,156,004/99,865
  6. Step 6: Final answer
    x = 445,803.39

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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.