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Finding the Third Proportional to 99,312 and 208,836

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Solution

The third proportional to 99,312 and 208,836 is: 439,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,312 : 208,836 = 208,836 : x
  2. Step 2: Convert to fraction form
    99,312/208,836 = 208,836/x
  3. Step 3: Cross multiply
    99,312x = 208,836 × 208,836
  4. Step 4: Simplify right side
    99,312x = 43,612,474,896
  5. Step 5: Solve for x
    x = 43,612,474,896/99,312
  6. Step 6: Final answer
    x = 439,146.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.