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Finding the Third Proportional to 57,044 and 133,280

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Solution

The third proportional to 57,044 and 133,280 is: 311,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,044 : 133,280 = 133,280 : x
  2. Step 2: Convert to fraction form
    57,044/133,280 = 133,280/x
  3. Step 3: Cross multiply
    57,044x = 133,280 × 133,280
  4. Step 4: Simplify right side
    57,044x = 17,763,558,400
  5. Step 5: Solve for x
    x = 17,763,558,400/57,044
  6. Step 6: Final answer
    x = 311,401.00

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.