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Finding the Third Proportional to 51,403 and 109,592

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Solution

The third proportional to 51,403 and 109,592 is: 233,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,403 : 109,592 = 109,592 : x
  2. Step 2: Convert to fraction form
    51,403/109,592 = 109,592/x
  3. Step 3: Cross multiply
    51,403x = 109,592 × 109,592
  4. Step 4: Simplify right side
    51,403x = 12,010,406,464
  5. Step 5: Solve for x
    x = 12,010,406,464/51,403
  6. Step 6: Final answer
    x = 233,651.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.