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Finding the Third Proportional to 99,782 and 210,803

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Solution

The third proportional to 99,782 and 210,803 is: 445,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,782 : 210,803 = 210,803 : x
  2. Step 2: Convert to fraction form
    99,782/210,803 = 210,803/x
  3. Step 3: Cross multiply
    99,782x = 210,803 × 210,803
  4. Step 4: Simplify right side
    99,782x = 44,437,904,809
  5. Step 5: Solve for x
    x = 44,437,904,809/99,782
  6. Step 6: Final answer
    x = 445,349.91

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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.