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Finding the Third Proportional to 127,190 and 279,804

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Solution

The third proportional to 127,190 and 279,804 is: 615,538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,190 : 279,804 = 279,804 : x
  2. Step 2: Convert to fraction form
    127,190/279,804 = 279,804/x
  3. Step 3: Cross multiply
    127,190x = 279,804 × 279,804
  4. Step 4: Simplify right side
    127,190x = 78,290,278,416
  5. Step 5: Solve for x
    x = 78,290,278,416/127,190
  6. Step 6: Final answer
    x = 615,538.00

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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.