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Finding the Third Proportional to 107,138 and 158,520

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Solution

The third proportional to 107,138 and 158,520 is: 234,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,138 : 158,520 = 158,520 : x
  2. Step 2: Convert to fraction form
    107,138/158,520 = 158,520/x
  3. Step 3: Cross multiply
    107,138x = 158,520 × 158,520
  4. Step 4: Simplify right side
    107,138x = 25,128,590,400
  5. Step 5: Solve for x
    x = 25,128,590,400/107,138
  6. Step 6: Final answer
    x = 234,544.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.