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Finding the Third Proportional to 53,688 and 126,328

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Solution

The third proportional to 53,688 and 126,328 is: 297,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,688 : 126,328 = 126,328 : x
  2. Step 2: Convert to fraction form
    53,688/126,328 = 126,328/x
  3. Step 3: Cross multiply
    53,688x = 126,328 × 126,328
  4. Step 4: Simplify right side
    53,688x = 15,958,763,584
  5. Step 5: Solve for x
    x = 15,958,763,584/53,688
  6. Step 6: Final answer
    x = 297,250.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.