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Finding the Third Proportional to 51,980 and 77,624

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Solution

The third proportional to 51,980 and 77,624 is: 115,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980 : 77,624 = 77,624 : x
  2. Step 2: Convert to fraction form
    51,980/77,624 = 77,624/x
  3. Step 3: Cross multiply
    51,980x = 77,624 × 77,624
  4. Step 4: Simplify right side
    51,980x = 6,025,485,376
  5. Step 5: Solve for x
    x = 6,025,485,376/51,980
  6. Step 6: Final answer
    x = 115,919.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.