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Finding the Third Proportional to 112,838 and 247,406

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Solution

The third proportional to 112,838 and 247,406 is: 542,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,838 : 247,406 = 247,406 : x
  2. Step 2: Convert to fraction form
    112,838/247,406 = 247,406/x
  3. Step 3: Cross multiply
    112,838x = 247,406 × 247,406
  4. Step 4: Simplify right side
    112,838x = 61,209,728,836
  5. Step 5: Solve for x
    x = 61,209,728,836/112,838
  6. Step 6: Final answer
    x = 542,456.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.