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Finding the Third Proportional to 84,040 and 130,112

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Solution

The third proportional to 84,040 and 130,112 is: 201,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,040 : 130,112 = 130,112 : x
  2. Step 2: Convert to fraction form
    84,040/130,112 = 130,112/x
  3. Step 3: Cross multiply
    84,040x = 130,112 × 130,112
  4. Step 4: Simplify right side
    84,040x = 16,929,132,544
  5. Step 5: Solve for x
    x = 16,929,132,544/84,040
  6. Step 6: Final answer
    x = 201,441.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.