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Finding the Third Proportional to 92,634.75 and 199,312.88

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Solution

The third proportional to 92,634.75 and 199,312.88 is: 428,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,634.75 : 199,312.88 = 199,312.88 : x
  2. Step 2: Convert to fraction form
    92,634.75/199,312.88 = 199,312.88/x
  3. Step 3: Cross multiply
    92,634.75x = 199,312.88 × 199,312.88
  4. Step 4: Simplify right side
    92,634.75x = 39,725,622,140.77
  5. Step 5: Solve for x
    x = 39,725,622,140.77/92,634.75
  6. Step 6: Final answer
    x = 428,841.47

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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.