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Finding the Third Proportional to 51,424 and 77,135

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Solution

The third proportional to 51,424 and 77,135 is: 115,701.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,424 : 77,135 = 77,135 : x
  2. Step 2: Convert to fraction form
    51,424/77,135 = 77,135/x
  3. Step 3: Cross multiply
    51,424x = 77,135 × 77,135
  4. Step 4: Simplify right side
    51,424x = 5,949,808,225
  5. Step 5: Solve for x
    x = 5,949,808,225/51,424
  6. Step 6: Final answer
    x = 115,701.00

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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.