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Finding the Third Proportional to 55,255 and 84,980

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Solution

The third proportional to 55,255 and 84,980 is: 130,695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,255 : 84,980 = 84,980 : x
  2. Step 2: Convert to fraction form
    55,255/84,980 = 84,980/x
  3. Step 3: Cross multiply
    55,255x = 84,980 × 84,980
  4. Step 4: Simplify right side
    55,255x = 7,221,600,400
  5. Step 5: Solve for x
    x = 7,221,600,400/55,255
  6. Step 6: Final answer
    x = 130,695.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.