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Finding the Third Proportional to 19,552 and 31,108

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Solution

The third proportional to 19,552 and 31,108 is: 49,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,552 : 31,108 = 31,108 : x
  2. Step 2: Convert to fraction form
    19,552/31,108 = 31,108/x
  3. Step 3: Cross multiply
    19,552x = 31,108 × 31,108
  4. Step 4: Simplify right side
    19,552x = 967,707,664
  5. Step 5: Solve for x
    x = 967,707,664/19,552
  6. Step 6: Final answer
    x = 49,494.05

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.