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Finding the Third Proportional to 116,370 and 279,909

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Solution

The third proportional to 116,370 and 279,909 is: 673,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,370 : 279,909 = 279,909 : x
  2. Step 2: Convert to fraction form
    116,370/279,909 = 279,909/x
  3. Step 3: Cross multiply
    116,370x = 279,909 × 279,909
  4. Step 4: Simplify right side
    116,370x = 78,349,048,281
  5. Step 5: Solve for x
    x = 78,349,048,281/116,370
  6. Step 6: Final answer
    x = 673,275.31

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.