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Finding the Third Proportional to 128,313 and 279,918

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Solution

The third proportional to 128,313 and 279,918 is: 610,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,313 : 279,918 = 279,918 : x
  2. Step 2: Convert to fraction form
    128,313/279,918 = 279,918/x
  3. Step 3: Cross multiply
    128,313x = 279,918 × 279,918
  4. Step 4: Simplify right side
    128,313x = 78,354,086,724
  5. Step 5: Solve for x
    x = 78,354,086,724/128,313
  6. Step 6: Final answer
    x = 610,648.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.