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Finding the Third Proportional to 112,032 and 241,056

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Solution

The third proportional to 112,032 and 241,056 is: 518,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,032 : 241,056 = 241,056 : x
  2. Step 2: Convert to fraction form
    112,032/241,056 = 241,056/x
  3. Step 3: Cross multiply
    112,032x = 241,056 × 241,056
  4. Step 4: Simplify right side
    112,032x = 58,107,995,136
  5. Step 5: Solve for x
    x = 58,107,995,136/112,032
  6. Step 6: Final answer
    x = 518,673.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.