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Finding the Third Proportional to 112,576 and 245,888

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Solution

The third proportional to 112,576 and 245,888 is: 537,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,576 : 245,888 = 245,888 : x
  2. Step 2: Convert to fraction form
    112,576/245,888 = 245,888/x
  3. Step 3: Cross multiply
    112,576x = 245,888 × 245,888
  4. Step 4: Simplify right side
    112,576x = 60,460,908,544
  5. Step 5: Solve for x
    x = 60,460,908,544/112,576
  6. Step 6: Final answer
    x = 537,067.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.