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Finding the Third Proportional to 95,580 and 143,406

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Solution

The third proportional to 95,580 and 143,406 is: 215,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,580 : 143,406 = 143,406 : x
  2. Step 2: Convert to fraction form
    95,580/143,406 = 143,406/x
  3. Step 3: Cross multiply
    95,580x = 143,406 × 143,406
  4. Step 4: Simplify right side
    95,580x = 20,565,280,836
  5. Step 5: Solve for x
    x = 20,565,280,836/95,580
  6. Step 6: Final answer
    x = 215,163.01

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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.