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Finding the Third Proportional to 83,858 and 130,899

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Solution

The third proportional to 83,858 and 130,899 is: 204,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,858 : 130,899 = 130,899 : x
  2. Step 2: Convert to fraction form
    83,858/130,899 = 130,899/x
  3. Step 3: Cross multiply
    83,858x = 130,899 × 130,899
  4. Step 4: Simplify right side
    83,858x = 17,134,548,201
  5. Step 5: Solve for x
    x = 17,134,548,201/83,858
  6. Step 6: Final answer
    x = 204,328.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.