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Finding the Third Proportional to 55,820 and 79,580

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Solution

The third proportional to 55,820 and 79,580 is: 113,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,820 : 79,580 = 79,580 : x
  2. Step 2: Convert to fraction form
    55,820/79,580 = 79,580/x
  3. Step 3: Cross multiply
    55,820x = 79,580 × 79,580
  4. Step 4: Simplify right side
    55,820x = 6,332,976,400
  5. Step 5: Solve for x
    x = 6,332,976,400/55,820
  6. Step 6: Final answer
    x = 113,453.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.