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Finding the Third Proportional to 127,575 and 279,693

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Solution

The third proportional to 127,575 and 279,693 is: 613,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,575 : 279,693 = 279,693 : x
  2. Step 2: Convert to fraction form
    127,575/279,693 = 279,693/x
  3. Step 3: Cross multiply
    127,575x = 279,693 × 279,693
  4. Step 4: Simplify right side
    127,575x = 78,228,174,249
  5. Step 5: Solve for x
    x = 78,228,174,249/127,575
  6. Step 6: Final answer
    x = 613,193.61

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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.