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Finding the Third Proportional to 93,496 and 202,844

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Solution

The third proportional to 93,496 and 202,844 is: 440,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,496 : 202,844 = 202,844 : x
  2. Step 2: Convert to fraction form
    93,496/202,844 = 202,844/x
  3. Step 3: Cross multiply
    93,496x = 202,844 × 202,844
  4. Step 4: Simplify right side
    93,496x = 41,145,688,336
  5. Step 5: Solve for x
    x = 41,145,688,336/93,496
  6. Step 6: Final answer
    x = 440,079.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.