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Finding the Third Proportional to 58,805 and 129,274

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Solution

The third proportional to 58,805 and 129,274 is: 284,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,805 : 129,274 = 129,274 : x
  2. Step 2: Convert to fraction form
    58,805/129,274 = 129,274/x
  3. Step 3: Cross multiply
    58,805x = 129,274 × 129,274
  4. Step 4: Simplify right side
    58,805x = 16,711,767,076
  5. Step 5: Solve for x
    x = 16,711,767,076/58,805
  6. Step 6: Final answer
    x = 284,189.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.