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Finding the Third Proportional to 51,772 and 77,578

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Solution

The third proportional to 51,772 and 77,578 is: 116,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,772 : 77,578 = 77,578 : x
  2. Step 2: Convert to fraction form
    51,772/77,578 = 77,578/x
  3. Step 3: Cross multiply
    51,772x = 77,578 × 77,578
  4. Step 4: Simplify right side
    51,772x = 6,018,346,084
  5. Step 5: Solve for x
    x = 6,018,346,084/51,772
  6. Step 6: Final answer
    x = 116,247.12

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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.