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Finding the Third Proportional to 93,040 and 203,464

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Solution

The third proportional to 93,040 and 203,464 is: 444,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,040 : 203,464 = 203,464 : x
  2. Step 2: Convert to fraction form
    93,040/203,464 = 203,464/x
  3. Step 3: Cross multiply
    93,040x = 203,464 × 203,464
  4. Step 4: Simplify right side
    93,040x = 41,397,599,296
  5. Step 5: Solve for x
    x = 41,397,599,296/93,040
  6. Step 6: Final answer
    x = 444,944.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.