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Finding the Third Proportional to 187,836 and 384,309

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Solution

The third proportional to 187,836 and 384,309 is: 786,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,836 : 384,309 = 384,309 : x
  2. Step 2: Convert to fraction form
    187,836/384,309 = 384,309/x
  3. Step 3: Cross multiply
    187,836x = 384,309 × 384,309
  4. Step 4: Simplify right side
    187,836x = 147,693,407,481
  5. Step 5: Solve for x
    x = 147,693,407,481/187,836
  6. Step 6: Final answer
    x = 786,289.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.