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Finding the Third Proportional to 42,056 and 63,263

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Solution

The third proportional to 42,056 and 63,263 is: 95,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,056 : 63,263 = 63,263 : x
  2. Step 2: Convert to fraction form
    42,056/63,263 = 63,263/x
  3. Step 3: Cross multiply
    42,056x = 63,263 × 63,263
  4. Step 4: Simplify right side
    42,056x = 4,002,207,169
  5. Step 5: Solve for x
    x = 4,002,207,169/42,056
  6. Step 6: Final answer
    x = 95,163.76

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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.