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Finding the Third Proportional to 55,370 and 83,631

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Solution

The third proportional to 55,370 and 83,631 is: 126,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,370 : 83,631 = 83,631 : x
  2. Step 2: Convert to fraction form
    55,370/83,631 = 83,631/x
  3. Step 3: Cross multiply
    55,370x = 83,631 × 83,631
  4. Step 4: Simplify right side
    55,370x = 6,994,144,161
  5. Step 5: Solve for x
    x = 6,994,144,161/55,370
  6. Step 6: Final answer
    x = 126,316.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.