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Finding the Third Proportional to 56,640 and 79,383

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Solution

The third proportional to 56,640 and 79,383 is: 111,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,640 : 79,383 = 79,383 : x
  2. Step 2: Convert to fraction form
    56,640/79,383 = 79,383/x
  3. Step 3: Cross multiply
    56,640x = 79,383 × 79,383
  4. Step 4: Simplify right side
    56,640x = 6,301,660,689
  5. Step 5: Solve for x
    x = 6,301,660,689/56,640
  6. Step 6: Final answer
    x = 111,258.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.