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Finding the Third Proportional to 185,276 and 379,288

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Solution

The third proportional to 185,276 and 379,288 is: 776,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,276 : 379,288 = 379,288 : x
  2. Step 2: Convert to fraction form
    185,276/379,288 = 379,288/x
  3. Step 3: Cross multiply
    185,276x = 379,288 × 379,288
  4. Step 4: Simplify right side
    185,276x = 143,859,386,944
  5. Step 5: Solve for x
    x = 143,859,386,944/185,276
  6. Step 6: Final answer
    x = 776,459.91

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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.