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Finding the Third Proportional to 55,840 and 86,351

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Solution

The third proportional to 55,840 and 86,351 is: 133,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,840 : 86,351 = 86,351 : x
  2. Step 2: Convert to fraction form
    55,840/86,351 = 86,351/x
  3. Step 3: Cross multiply
    55,840x = 86,351 × 86,351
  4. Step 4: Simplify right side
    55,840x = 7,456,495,201
  5. Step 5: Solve for x
    x = 7,456,495,201/55,840
  6. Step 6: Final answer
    x = 133,533.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.