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Finding the Third Proportional to 138,736 and 294,752

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Solution

The third proportional to 138,736 and 294,752 is: 626,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,736 : 294,752 = 294,752 : x
  2. Step 2: Convert to fraction form
    138,736/294,752 = 294,752/x
  3. Step 3: Cross multiply
    138,736x = 294,752 × 294,752
  4. Step 4: Simplify right side
    138,736x = 86,878,741,504
  5. Step 5: Solve for x
    x = 86,878,741,504/138,736
  6. Step 6: Final answer
    x = 626,216.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.