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Finding the Third Proportional to 99,902 and 214,020

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Solution

The third proportional to 99,902 and 214,020 is: 458,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,902 : 214,020 = 214,020 : x
  2. Step 2: Convert to fraction form
    99,902/214,020 = 214,020/x
  3. Step 3: Cross multiply
    99,902x = 214,020 × 214,020
  4. Step 4: Simplify right side
    99,902x = 45,804,560,400
  5. Step 5: Solve for x
    x = 45,804,560,400/99,902
  6. Step 6: Final answer
    x = 458,494.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.