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Finding the Third Proportional to 138,854 and 305,014

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Solution

The third proportional to 138,854 and 305,014 is: 670,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,854 : 305,014 = 305,014 : x
  2. Step 2: Convert to fraction form
    138,854/305,014 = 305,014/x
  3. Step 3: Cross multiply
    138,854x = 305,014 × 305,014
  4. Step 4: Simplify right side
    138,854x = 93,033,540,196
  5. Step 5: Solve for x
    x = 93,033,540,196/138,854
  6. Step 6: Final answer
    x = 670,009.80

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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.