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Finding the Third Proportional to 127,640 and 279,448

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Solution

The third proportional to 127,640 and 279,448 is: 611,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,640 : 279,448 = 279,448 : x
  2. Step 2: Convert to fraction form
    127,640/279,448 = 279,448/x
  3. Step 3: Cross multiply
    127,640x = 279,448 × 279,448
  4. Step 4: Simplify right side
    127,640x = 78,091,184,704
  5. Step 5: Solve for x
    x = 78,091,184,704/127,640
  6. Step 6: Final answer
    x = 611,808.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.