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Finding the Third Proportional to 112,056 and 234,498

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Solution

The third proportional to 112,056 and 234,498 is: 490,730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,056 : 234,498 = 234,498 : x
  2. Step 2: Convert to fraction form
    112,056/234,498 = 234,498/x
  3. Step 3: Cross multiply
    112,056x = 234,498 × 234,498
  4. Step 4: Simplify right side
    112,056x = 54,989,312,004
  5. Step 5: Solve for x
    x = 54,989,312,004/112,056
  6. Step 6: Final answer
    x = 490,730.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.