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Finding the Third Proportional to 99,421 and 210,358

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Solution

The third proportional to 99,421 and 210,358 is: 445,081.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,421 : 210,358 = 210,358 : x
  2. Step 2: Convert to fraction form
    99,421/210,358 = 210,358/x
  3. Step 3: Cross multiply
    99,421x = 210,358 × 210,358
  4. Step 4: Simplify right side
    99,421x = 44,250,488,164
  5. Step 5: Solve for x
    x = 44,250,488,164/99,421
  6. Step 6: Final answer
    x = 445,081.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.