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Finding the Third Proportional to 99,018 and 212,964

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Solution

The third proportional to 99,018 and 212,964 is: 458,034.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,018 : 212,964 = 212,964 : x
  2. Step 2: Convert to fraction form
    99,018/212,964 = 212,964/x
  3. Step 3: Cross multiply
    99,018x = 212,964 × 212,964
  4. Step 4: Simplify right side
    99,018x = 45,353,665,296
  5. Step 5: Solve for x
    x = 45,353,665,296/99,018
  6. Step 6: Final answer
    x = 458,034.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.