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Finding the Third Proportional to 31,420 and 48,138

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Solution

The third proportional to 31,420 and 48,138 is: 73,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420 : 48,138 = 48,138 : x
  2. Step 2: Convert to fraction form
    31,420/48,138 = 48,138/x
  3. Step 3: Cross multiply
    31,420x = 48,138 × 48,138
  4. Step 4: Simplify right side
    31,420x = 2,317,267,044
  5. Step 5: Solve for x
    x = 2,317,267,044/31,420
  6. Step 6: Final answer
    x = 73,751.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.