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Finding the Third Proportional to 84,099 and 130,305

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Solution

The third proportional to 84,099 and 130,305 is: 201,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,099 : 130,305 = 130,305 : x
  2. Step 2: Convert to fraction form
    84,099/130,305 = 130,305/x
  3. Step 3: Cross multiply
    84,099x = 130,305 × 130,305
  4. Step 4: Simplify right side
    84,099x = 16,979,393,025
  5. Step 5: Solve for x
    x = 16,979,393,025/84,099
  6. Step 6: Final answer
    x = 201,897.68

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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.