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Finding the Third Proportional to 63,856 and 102,010

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Solution

The third proportional to 63,856 and 102,010 is: 162,961.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,856 : 102,010 = 102,010 : x
  2. Step 2: Convert to fraction form
    63,856/102,010 = 102,010/x
  3. Step 3: Cross multiply
    63,856x = 102,010 × 102,010
  4. Step 4: Simplify right side
    63,856x = 10,406,040,100
  5. Step 5: Solve for x
    x = 10,406,040,100/63,856
  6. Step 6: Final answer
    x = 162,961.04

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.