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Finding the Third Proportional to 40,935 and 63,211.50

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Solution

The third proportional to 40,935 and 63,211.50 is: 97,610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,935 : 63,211.50 = 63,211.50 : x
  2. Step 2: Convert to fraction form
    40,935/63,211.50 = 63,211.50/x
  3. Step 3: Cross multiply
    40,935x = 63,211.50 × 63,211.50
  4. Step 4: Simplify right side
    40,935x = 3,995,693,732.25
  5. Step 5: Solve for x
    x = 3,995,693,732.25/40,935
  6. Step 6: Final answer
    x = 97,610.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.