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Finding the Third Proportional to 93,592 and 200,048

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Solution

The third proportional to 93,592 and 200,048 is: 427,592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,592 : 200,048 = 200,048 : x
  2. Step 2: Convert to fraction form
    93,592/200,048 = 200,048/x
  3. Step 3: Cross multiply
    93,592x = 200,048 × 200,048
  4. Step 4: Simplify right side
    93,592x = 40,019,202,304
  5. Step 5: Solve for x
    x = 40,019,202,304/93,592
  6. Step 6: Final answer
    x = 427,592.13

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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.