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Finding the Third Proportional to 93,625.50 and 200,373

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Solution

The third proportional to 93,625.50 and 200,373 is: 428,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,625.50 : 200,373 = 200,373 : x
  2. Step 2: Convert to fraction form
    93,625.50/200,373 = 200,373/x
  3. Step 3: Cross multiply
    93,625.50x = 200,373 × 200,373
  4. Step 4: Simplify right side
    93,625.50x = 40,149,339,129
  5. Step 5: Solve for x
    x = 40,149,339,129/93,625.50
  6. Step 6: Final answer
    x = 428,829.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.