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Finding the Third Proportional to 84,027 and 130,171.50

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Solution

The third proportional to 84,027 and 130,171.50 is: 201,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,027 : 130,171.50 = 130,171.50 : x
  2. Step 2: Convert to fraction form
    84,027/130,171.50 = 130,171.50/x
  3. Step 3: Cross multiply
    84,027x = 130,171.50 × 130,171.50
  4. Step 4: Simplify right side
    84,027x = 16,944,619,412.25
  5. Step 5: Solve for x
    x = 16,944,619,412.25/84,027
  6. Step 6: Final answer
    x = 201,656.84

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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.