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Finding the Third Proportional to 137,864 and 297,736

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Solution

The third proportional to 137,864 and 297,736 is: 643,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,864 : 297,736 = 297,736 : x
  2. Step 2: Convert to fraction form
    137,864/297,736 = 297,736/x
  3. Step 3: Cross multiply
    137,864x = 297,736 × 297,736
  4. Step 4: Simplify right side
    137,864x = 88,646,725,696
  5. Step 5: Solve for x
    x = 88,646,725,696/137,864
  6. Step 6: Final answer
    x = 643,001.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.