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Finding the Third Proportional to 138,856 and 305,018

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Solution

The third proportional to 138,856 and 305,018 is: 670,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,856 : 305,018 = 305,018 : x
  2. Step 2: Convert to fraction form
    138,856/305,018 = 305,018/x
  3. Step 3: Cross multiply
    138,856x = 305,018 × 305,018
  4. Step 4: Simplify right side
    138,856x = 93,035,980,324
  5. Step 5: Solve for x
    x = 93,035,980,324/138,856
  6. Step 6: Final answer
    x = 670,017.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.