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Finding the Third Proportional to 54,130 and 81,114

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Solution

The third proportional to 54,130 and 81,114 is: 121,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,130 : 81,114 = 81,114 : x
  2. Step 2: Convert to fraction form
    54,130/81,114 = 81,114/x
  3. Step 3: Cross multiply
    54,130x = 81,114 × 81,114
  4. Step 4: Simplify right side
    54,130x = 6,579,480,996
  5. Step 5: Solve for x
    x = 6,579,480,996/54,130
  6. Step 6: Final answer
    x = 121,549.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.