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Finding the Third Proportional to 129,642 and 277,268

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Solution

The third proportional to 129,642 and 277,268 is: 592,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,642 : 277,268 = 277,268 : x
  2. Step 2: Convert to fraction form
    129,642/277,268 = 277,268/x
  3. Step 3: Cross multiply
    129,642x = 277,268 × 277,268
  4. Step 4: Simplify right side
    129,642x = 76,877,543,824
  5. Step 5: Solve for x
    x = 76,877,543,824/129,642
  6. Step 6: Final answer
    x = 592,998.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.