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Finding the Third Proportional to 253,980 and 379,724

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Solution

The third proportional to 253,980 and 379,724 is: 567,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,980 : 379,724 = 379,724 : x
  2. Step 2: Convert to fraction form
    253,980/379,724 = 379,724/x
  3. Step 3: Cross multiply
    253,980x = 379,724 × 379,724
  4. Step 4: Simplify right side
    253,980x = 144,190,316,176
  5. Step 5: Solve for x
    x = 144,190,316,176/253,980
  6. Step 6: Final answer
    x = 567,723.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.