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Finding the Third Proportional to 93,760 and 202,486

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Solution

The third proportional to 93,760 and 202,486 is: 437,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,760 : 202,486 = 202,486 : x
  2. Step 2: Convert to fraction form
    93,760/202,486 = 202,486/x
  3. Step 3: Cross multiply
    93,760x = 202,486 × 202,486
  4. Step 4: Simplify right side
    93,760x = 41,000,580,196
  5. Step 5: Solve for x
    x = 41,000,580,196/93,760
  6. Step 6: Final answer
    x = 437,292.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.