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Finding the Third Proportional to 99,902 and 208,984

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Solution

The third proportional to 99,902 and 208,984 is: 437,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,902 : 208,984 = 208,984 : x
  2. Step 2: Convert to fraction form
    99,902/208,984 = 208,984/x
  3. Step 3: Cross multiply
    99,902x = 208,984 × 208,984
  4. Step 4: Simplify right side
    99,902x = 43,674,312,256
  5. Step 5: Solve for x
    x = 43,674,312,256/99,902
  6. Step 6: Final answer
    x = 437,171.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.