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Finding the Third Proportional to 55,833 and 83,871

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Solution

The third proportional to 55,833 and 83,871 is: 125,989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,833 : 83,871 = 83,871 : x
  2. Step 2: Convert to fraction form
    55,833/83,871 = 83,871/x
  3. Step 3: Cross multiply
    55,833x = 83,871 × 83,871
  4. Step 4: Simplify right side
    55,833x = 7,034,344,641
  5. Step 5: Solve for x
    x = 7,034,344,641/55,833
  6. Step 6: Final answer
    x = 125,989.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.