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Finding the Third Proportional to 56,871 and 89,205.75

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Solution

The third proportional to 56,871 and 89,205.75 is: 139,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,871 : 89,205.75 = 89,205.75 : x
  2. Step 2: Convert to fraction form
    56,871/89,205.75 = 89,205.75/x
  3. Step 3: Cross multiply
    56,871x = 89,205.75 × 89,205.75
  4. Step 4: Simplify right side
    56,871x = 7,957,665,833.06
  5. Step 5: Solve for x
    x = 7,957,665,833.06/56,871
  6. Step 6: Final answer
    x = 139,924.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.