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Finding the Third Proportional to 215,336 and 308,246

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Solution

The third proportional to 215,336 and 308,246 is: 441,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,336 : 308,246 = 308,246 : x
  2. Step 2: Convert to fraction form
    215,336/308,246 = 308,246/x
  3. Step 3: Cross multiply
    215,336x = 308,246 × 308,246
  4. Step 4: Simplify right side
    215,336x = 95,015,596,516
  5. Step 5: Solve for x
    x = 95,015,596,516/215,336
  6. Step 6: Final answer
    x = 441,243.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.