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Finding the Third Proportional to 54,510 and 77,135

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Solution

The third proportional to 54,510 and 77,135 is: 109,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,510 : 77,135 = 77,135 : x
  2. Step 2: Convert to fraction form
    54,510/77,135 = 77,135/x
  3. Step 3: Cross multiply
    54,510x = 77,135 × 77,135
  4. Step 4: Simplify right side
    54,510x = 5,949,808,225
  5. Step 5: Solve for x
    x = 5,949,808,225/54,510
  6. Step 6: Final answer
    x = 109,150.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.