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Finding the Third Proportional to 112,128 and 168,663

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Solution

The third proportional to 112,128 and 168,663 is: 253,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,128 : 168,663 = 168,663 : x
  2. Step 2: Convert to fraction form
    112,128/168,663 = 168,663/x
  3. Step 3: Cross multiply
    112,128x = 168,663 × 168,663
  4. Step 4: Simplify right side
    112,128x = 28,447,207,569
  5. Step 5: Solve for x
    x = 28,447,207,569/112,128
  6. Step 6: Final answer
    x = 253,702.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.