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Finding the Third Proportional to 51,345 and 111,078

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Solution

The third proportional to 51,345 and 111,078 is: 240,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,345 : 111,078 = 111,078 : x
  2. Step 2: Convert to fraction form
    51,345/111,078 = 111,078/x
  3. Step 3: Cross multiply
    51,345x = 111,078 × 111,078
  4. Step 4: Simplify right side
    51,345x = 12,338,322,084
  5. Step 5: Solve for x
    x = 12,338,322,084/51,345
  6. Step 6: Final answer
    x = 240,302.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.