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Finding the Third Proportional to 84,057 and 130,149

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Solution

The third proportional to 84,057 and 130,149 is: 201,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,057 : 130,149 = 130,149 : x
  2. Step 2: Convert to fraction form
    84,057/130,149 = 130,149/x
  3. Step 3: Cross multiply
    84,057x = 130,149 × 130,149
  4. Step 4: Simplify right side
    84,057x = 16,938,762,201
  5. Step 5: Solve for x
    x = 16,938,762,201/84,057
  6. Step 6: Final answer
    x = 201,515.19

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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.