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Finding the Third Proportional to 57,980 and 133,709

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Solution

The third proportional to 57,980 and 133,709 is: 308,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,980 : 133,709 = 133,709 : x
  2. Step 2: Convert to fraction form
    57,980/133,709 = 133,709/x
  3. Step 3: Cross multiply
    57,980x = 133,709 × 133,709
  4. Step 4: Simplify right side
    57,980x = 17,878,096,681
  5. Step 5: Solve for x
    x = 17,878,096,681/57,980
  6. Step 6: Final answer
    x = 308,349.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.