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Finding the Third Proportional to 56,646 and 127,911

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Solution

The third proportional to 56,646 and 127,911 is: 288,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,646 : 127,911 = 127,911 : x
  2. Step 2: Convert to fraction form
    56,646/127,911 = 127,911/x
  3. Step 3: Cross multiply
    56,646x = 127,911 × 127,911
  4. Step 4: Simplify right side
    56,646x = 16,361,223,921
  5. Step 5: Solve for x
    x = 16,361,223,921/56,646
  6. Step 6: Final answer
    x = 288,832.82

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.