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Finding the Third Proportional to 99,900 and 212,513

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Solution

The third proportional to 99,900 and 212,513 is: 452,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,900 : 212,513 = 212,513 : x
  2. Step 2: Convert to fraction form
    99,900/212,513 = 212,513/x
  3. Step 3: Cross multiply
    99,900x = 212,513 × 212,513
  4. Step 4: Simplify right side
    99,900x = 45,161,775,169
  5. Step 5: Solve for x
    x = 45,161,775,169/99,900
  6. Step 6: Final answer
    x = 452,069.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.