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Finding the Third Proportional to 31,444 and 67,788

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Solution

The third proportional to 31,444 and 67,788 is: 146,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,444 : 67,788 = 67,788 : x
  2. Step 2: Convert to fraction form
    31,444/67,788 = 67,788/x
  3. Step 3: Cross multiply
    31,444x = 67,788 × 67,788
  4. Step 4: Simplify right side
    31,444x = 4,595,212,944
  5. Step 5: Solve for x
    x = 4,595,212,944/31,444
  6. Step 6: Final answer
    x = 146,139.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.